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100110101111010 = 2345509242814769
BaseRepresentation
bin10110110000110010110011…
…000000111110000011100010
3111010110102200001222110220000
4112300302303000332003202
5101110200441341023020
6552525540123400430
730041500426143054
oct2660626300760342
9433412601873800
10100110101111010
1129997501237501
12b28a012383116
1343b245a585243
141aa14d75d58d4
15b891606db090
hex5b0cb303e0e2

100110101111010 has 80 divisors (see below), whose sum is σ = 269713790220600. Its totient is φ = 26643578863104.

The previous prime is 100110101111003. The next prime is 100110101111117. The reversal of 100110101111010 is 10111101011001.

It can be written as a sum of positive squares in 4 ways, for example, as 59887957490361 + 40222143620649 = 7738731^2 + 6342093^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100110101110983 and 100110101111001.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 120995095 + ... + 121819674.

Almost surely, 2100110101111010 is an apocalyptic number.

100110101111010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100110101111010 is an abundant number, since it is smaller than the sum of its proper divisors (169603689109590).

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

100110101111010 is a wasteful number, since it uses less digits than its factorization.

100110101111010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242815297 (or 242815288 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 100110101111010 its reverse (10111101011001), we get a palindrome (110221202122011).

The spelling of 100110101111010 in words is "one hundred trillion, one hundred ten billion, one hundred one million, one hundred eleven thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 509 810 1018 1527 2545 3054 4581 5090 7635 9162 13743 15270 22905 27486 41229 45810 68715 82458 137430 206145 412290 242814769 485629538 728444307 1214073845 1456888614 2185332921 2428147690 3642221535 4370665842 6555998763 7284443070 10926664605 13111997526 19667996289 21853329210 32779993815 39335992578 65559987630 98339981445 123592717421 196679962890 247185434842 370778152263 617963587105 741556304526 1112334456789 1235927174210 1853890761315 2224668913578 3337003370367 3707781522630 5561672283945 6674006740734 10011010111101 11123344567890 16685016851835 20022020222202 33370033703670 50055050555505 100110101111010