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100100213011332 = 223317541310072199
BaseRepresentation
bin10110110000101001100101…
…101000110111001110000100
3111010102111010221202222011000
4112300221211220313032010
5101110020214012330312
6552521223015213300
730041000410526112
oct2660514550671604
9433374127688130
10100100213011332
11299932977018a6
12b288112977230
1343b1542b170a1
141aa0c3a280ab2
15b88c82583adc
hex5b0a65a37384

100100213011332 has 96 divisors (see below), whose sum is σ = 274835689632000. Its totient is φ = 31398183691776.

The previous prime is 100100213011313. The next prime is 100100213011387. The reversal of 100100213011332 is 233110312001001.

100100213011332 is a `hidden beast` number, since 1 + 0 + 0 + 10 + 0 + 21 + 301 + 1 + 332 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4902169 + ... + 14974367.

It is an arithmetic number, because the mean of its divisors is an integer number (2862871767000).

Almost surely, 2100100213011332 is an apocalyptic number.

100100213011332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100100213011332 is an abundant number, since it is smaller than the sum of its proper divisors (174735476620668).

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

100100213011332 is a wasteful number, since it uses less digits than its factorization.

100100213011332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10077642 (or 10077634 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 100100213011332 its reverse (233110312001001), we get a palindrome (333210525012333).

The spelling of 100100213011332 in words is "one hundred trillion, one hundred billion, two hundred thirteen million, eleven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1836 5413 10826 16239 21652 32478 48717 64956 92021 97434 146151 184042 194868 276063 292302 368084 552126 584604 828189 1104252 1656378 2484567 3312756 4969134 9938268 10072199 20144398 30216597 40288796 60433194 90649791 120866388 171227383 181299582 271949373 342454766 362599164 513682149 543898746 684909532 1027364298 1087797492 1541046447 2054728596 3082092894 4623139341 6164185788 9246278682 18492557364 54520813187 109041626374 163562439561 218083252748 327124879122 490687318683 654249758244 926853824179 981374637366 1472061956049 1853707648358 1962749274732 2780561472537 2944123912098 3707415296716 5561122945074 5888247824196 8341684417611 11122245890148 16683368835222 25025053252833 33366737670444 50050106505666 100100213011332