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100110111010100 = 225273137881113621
BaseRepresentation
bin10110110000110010110011…
…100110101110110100110100
3111010110102200202121101212222
4112300302303212232310310
5101110201001404310400
6552525541115501512
730041500606242302
oct2660626346566464
9433412622541788
10100110111010100
1129997506888874
12b28a015757898
1343b245c63cba9
141aa14d8a51272
15b891614e4185
hex5b0cb39aed34

100110111010100 has 144 divisors (see below), whose sum is σ = 222075963322416. Its totient is φ = 39162359808000.

The previous prime is 100110111010061. The next prime is 100110111010103. The reversal of 100110111010100 is 1010111011001.

It can be written as a sum of positive squares in 24 ways, for example, as 73513956144784 + 26596154865316 = 8574028^2 + 5157146^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110111010103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 881031290 + ... + 881144910.

It is an arithmetic number, because the mean of its divisors is an integer number (1542194189739).

Almost surely, 2100110111010100 is an apocalyptic number.

100110111010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100110111010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111037981661208).

100110111010100 is an abundant number, since it is smaller than the sum of its proper divisors (121965852312316).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100110111010100 is a wasteful number, since it uses less digits than its factorization.

100110111010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114726 (or 114719 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 100110111010100 its reverse (1010111011001), we get a palindrome (101120222021101).

Subtracting from 100110111010100 its reverse (1010111011001), we obtain a palindrome (99099999999099).

It can be divided in two parts, 1001 and 10111010100, that added together give a palindrome (10111011101).

The spelling of 100110111010100 in words is "one hundred trillion, one hundred ten billion, one hundred eleven million, ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 137 146 274 292 365 548 685 730 881 1370 1460 1762 1825 2740 3425 3524 3650 4405 6850 7300 8810 10001 13700 17620 20002 22025 40004 44050 50005 64313 88100 100010 113621 120697 128626 200020 227242 241394 250025 257252 321565 454484 482788 500050 568105 603485 643130 1000100 1136210 1206970 1286260 1607825 2272420 2413940 2840525 3017425 3215650 5681050 6034850 6431300 8294333 8810881 11362100 12069700 15566077 16588666 17621762 31132154 33177332 35243524 41471665 44054405 62264308 77830385 82943330 88108810 100100101 155660770 165886660 176217620 200200202 207358325 220272025 311321540 389151925 400400404 414716650 440544050 500500505 778303850 829433300 881088100 1001001010 1136323621 1556607700 2002002020 2272647242 2502502525 4545294484 5005005050 5681618105 7307307373 10010010100 11363236210 13713713837 14614614746 22726472420 27427427674 28408090525 29229229492 36536536865 54854855348 56816181050 68568569185 73073073730 113632362100 137137138370 146146147460 182682684325 274274276740 342842845925 365365368650 685685691850 730730737300 1001101110101 1371371383700 2002202220202 4004404440404 5005505550505 10011011101010 20022022202020 25027527752525 50055055505050 100110111010100