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10231120032 = 253724350581
BaseRepresentation
bin10011000011101001…
…01000000010100000
3222102000122202012120
421201310220002200
5131423131320112
64411120224240
7511352041200
oct114164500240
928360582176
1010231120032
114380222a01
121b9646b080
13c7084c4a3
146d0b26400
153ed312e8c
hex261d280a0

10231120032 has 144 divisors (see below), whose sum is σ = 31968633312. Its totient is φ = 2855139840.

The previous prime is 10231120027. The next prime is 10231120049. The reversal of 10231120032 is 23002113201.

It is a junction number, because it is equal to n+sod(n) for n = 10231119993 and 10231120020.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176982 + ... + 227562.

It is an arithmetic number, because the mean of its divisors is an integer number (222004398).

Almost surely, 210231120032 is an apocalyptic number.

10231120032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10231120032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15984316656).

10231120032 is an abundant number, since it is smaller than the sum of its proper divisors (21737513280).

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

10231120032 is a wasteful number, since it uses less digits than its factorization.

10231120032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50651 (or 50636 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10231120032 its reverse (23002113201), we get a palindrome (33233233233).

The spelling of 10231120032 in words is "ten billion, two hundred thirty-one million, one hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 43 48 49 56 84 86 96 98 112 129 147 168 172 196 224 258 294 301 336 344 392 516 588 602 672 688 784 903 1032 1176 1204 1376 1568 1806 2064 2107 2352 2408 3612 4128 4214 4704 4816 6321 7224 8428 9632 12642 14448 16856 25284 28896 33712 50568 50581 67424 101136 101162 151743 202272 202324 303486 354067 404648 606972 708134 809296 1062201 1213944 1416268 1618592 2124402 2174983 2427888 2478469 2832536 4248804 4349966 4855776 4956938 5665072 6524949 7435407 8497608 8699932 9913876 11330144 13049898 14870814 15224881 16995216 17399864 19827752 26099796 29741628 30449762 33990432 34799728 39655504 45674643 52199592 59483256 60899524 69599456 79311008 91349286 104399184 106574167 118966512 121799048 182698572 208798368 213148334 237933024 243598096 319722501 365397144 426296668 487196192 639445002 730794288 852593336 1278890004 1461588576 1705186672 2557780008 3410373344 5115560016 10231120032