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100220440051332 = 223229995879157897
BaseRepresentation
bin10110110010011001100011…
…101110100111111010000100
3111010211222110210011101222100
4112302121203232213322010
5101114002430123120312
6553052345022032100
730052454634515526
oct2662314356477204
9433758423141870
10100220440051332
1129a2a282738487
12b2a7486718630
1343bc993065343
141aa69a3807a16
15b8be6c4355dc
hex5b2663ba7e84

100220440051332 has 72 divisors (see below), whose sum is σ = 253464185520000. Its totient is φ = 33389782063488.

The previous prime is 100220440051331. The next prime is 100220440051349. The reversal of 100220440051332 is 233150044022001.

100220440051332 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 204 + 400 + 51 + 3 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 100220440051296 and 100220440051305.

It is not an unprimeable number, because it can be changed into a prime (100220440051331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 634641408 + ... + 634799304.

It is an arithmetic number, because the mean of its divisors is an integer number (3520335910000).

Almost surely, 2100220440051332 is an apocalyptic number.

100220440051332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100220440051332 is an abundant number, since it is smaller than the sum of its proper divisors (153243745468668).

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

100220440051332 is a wasteful number, since it uses less digits than its factorization.

100220440051332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166785 (or 166780 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 100220440051332 its reverse (233150044022001), we get a palindrome (333370484073333).

The spelling of 100220440051332 in words is "one hundred trillion, two hundred twenty billion, four hundred forty million, fifty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 2999 5879 5998 8997 11758 11996 17637 17994 23516 26991 35274 35988 52911 53982 70548 105822 107964 157897 211644 315794 473691 631588 947382 1421073 1894764 2842146 5684292 17631121 35262242 52893363 70524484 105786726 158680089 211573452 317360178 473533103 634720356 928276463 947066206 1420599309 1856552926 1894132412 2784829389 2841198618 3713105852 4261797927 5569658778 5682397236 8354488167 8523595854 11139317556 16708976334 17047191708 33417952668 2783901112537 5567802225074 8351703337611 11135604450148 16703406675222 25055110012833 33406813350444 50110220025666 100220440051332