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112332010023 = 322997137139233
BaseRepresentation
bin110100010011110000…
…0100111001000100111
3101201221121111100201200
41220213200213020213
53320023443310043
6123334332453543
711054456221332
oct1504740471047
9351847440650
10112332010023
1143704544822
121992b91a2b3
13a79269bbac
145618bc5619
152dc6bdd7d3
hex1a27827227

112332010023 has 96 divisors (see below), whose sum is σ = 172788033600. Its totient is φ = 70224150528.

The previous prime is 112332010009. The next prime is 112332010033. The reversal of 112332010023 is 320010233211.

It is not a de Polignac number, because 112332010023 - 229 = 111795139111 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 112332009978 and 112332010005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112332010003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 482111515 + ... + 482111747.

It is an arithmetic number, because the mean of its divisors is an integer number (1799875350).

Almost surely, 2112332010023 is an apocalyptic number.

112332010023 is a deficient number, since it is larger than the sum of its proper divisors (60456023577).

112332010023 is a wasteful number, since it uses less digits than its factorization.

112332010023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 112332010023 its reverse (320010233211), we get a palindrome (432342243234).

The spelling of 112332010023 in words is "one hundred twelve billion, three hundred thirty-two million, ten thousand, twenty-three".

Divisors: 1 3 9 29 87 97 137 139 233 261 291 411 417 699 873 1233 1251 2097 2813 3973 4031 6757 8439 11919 12093 13289 13483 19043 20271 22601 25317 31921 32387 35757 36279 39867 40449 57129 60813 67803 95763 97161 119601 121347 171387 203409 287289 291483 385381 391007 552247 655429 925709 939223 1156143 1173021 1656741 1847171 1966287 2777127 2817669 3096337 3141539 3468429 3519063 4437019 4970223 5541513 5898861 8331381 8453007 9289011 9424617 13311057 16624539 27867033 28273851 39933171 53567959 89793773 91104631 128673551 160703877 269381319 273313893 386020653 430390843 482111631 808143957 819941679 1158061959 1291172529 3873517587 12481334447 37444003341 112332010023