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100111020102210 = 235133732521272983
BaseRepresentation
bin10110110000110011101001…
…110010101001001001000010
3111010110112001010020001211010
4112300303221302221021002
5101110204332121232320
6552530211232501350
730041532255346515
oct2660635162511102
9433415033201733
10100111020102210
1129997932a60167
12b28a22a0aa856
1343b2575a9ab10
141aa1583696d7c
15b891b6219ae0
hex5b0ce9ca9242

100111020102210 has 128 divisors (see below), whose sum is σ = 259546041570816. Its totient is φ = 24566807623680.

The previous prime is 100111020102103. The next prime is 100111020102271. The reversal of 100111020102210 is 12201020111001.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 366593379 + ... + 366866361.

It is an arithmetic number, because the mean of its divisors is an integer number (2027703449772).

Almost surely, 2100111020102210 is an apocalyptic number.

100111020102210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100111020102210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129773020785408).

100111020102210 is an abundant number, since it is smaller than the sum of its proper divisors (159435021468606).

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

100111020102210 is a wasteful number, since it uses less digits than its factorization.

100111020102210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275900.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100111020102210 its reverse (12201020111001), we get a palindrome (112312040213211).

The spelling of 100111020102210 in words is "one hundred trillion, one hundred eleven billion, twenty million, one hundred two thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 373 390 746 1119 1865 2238 2521 3730 4849 5042 5595 7563 9698 11190 12605 14547 15126 24245 25210 29094 32773 37815 48490 65546 72735 75630 98319 145470 163865 196638 272983 327730 491595 545966 818949 940333 983190 1364915 1637898 1880666 2729830 2820999 3548779 4094745 4701665 5641998 7097558 8189490 9403330 10646337 12224329 14104995 17743895 21292674 24448658 28209990 35487790 36672987 53231685 61121645 73345974 101822659 106463370 122243290 183364935 203645318 305467977 366729870 509113295 610935954 688190143 1018226590 1323694567 1376380286 1527339885 2064570429 2647389134 3054679770 3440950715 3971083701 4129140858 6618472835 6881901430 7942167402 8946471859 10322852145 13236945670 17892943718 19855418505 20645704290 26839415577 39710837010 44732359295 53678831154 89464718590 134197077885 256694923339 268394155770 513389846678 770084770017 1283474616695 1540169540034 2566949233390 3337034003407 3850423850085 6674068006814 7700847700170 10011102010221 16685170017035 20022204020442 33370340034070 50055510051105 100111020102210