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100232112110032 = 24721070531194241
BaseRepresentation
bin10110110010100100011011…
…011011111111100111010000
3111010220002121020012102102201
4112302210123123333213100
5101114200331200010112
6553101555134452544
730053350114420300
oct2662443333774720
9433802536172381
10100232112110032
1129a34222270991
12b2a97a3664154
1343c0b03298156
141aa738da5b600
15b8c401ec8257
hex5b291b6ff9d0

100232112110032 has 60 divisors (see below), whose sum is σ = 225908092881156. Its totient is φ = 42956182241280.

The previous prime is 100232112109993. The next prime is 100232112110041. The reversal of 100232112110032 is 230011211232001.

It can be written as a sum of positive squares in 2 ways, for example, as 40099593715776 + 60132518394256 = 6332424^2 + 7754516^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100232112109991 and 100232112110009.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83332432 + ... + 84526672.

Almost surely, 2100232112110032 is an apocalyptic number.

It is an amenable number.

100232112110032 is an abundant number, since it is smaller than the sum of its proper divisors (125675980771124).

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

100232112110032 is a wasteful number, since it uses less digits than its factorization.

100232112110032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301316 (or 1301303 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 100232112110032 its reverse (230011211232001), we get a palindrome (330243323342033).

The spelling of 100232112110032 in words is "one hundred trillion, two hundred thirty-two billion, one hundred twelve million, one hundred ten thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 107053 214106 428212 749371 856424 1194241 1498742 1712848 2388482 2997484 4776964 5245597 5994968 8359687 9553928 10491194 11989936 16719374 19107856 20982388 33438748 41964776 58517809 66877496 83929552 117035618 133754992 234071236 468142472 936284944 127847081773 255694163546 511388327092 894929572411 1022776654184 1789859144822 2045553308368 3579718289644 6264507006877 7159436579288 12529014013754 14318873158576 25058028027508 50116056055016 100232112110032