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32113112031 = 32711137945121
BaseRepresentation
bin11101111010000101…
…110011001111011111
310001220000111010010200
4131322011303033133
51011231424041111
622430315234543
72214535643220
oct357205631737
9101800433120
1032113112031
111268a018410
126282748a53
13304a0c4150
1417a8d49247
15c7e3d1256
hex77a1733df

32113112031 has 96 divisors (see below), whose sum is σ = 63069726720. Its totient is φ = 15203635200.

The previous prime is 32113112021. The next prime is 32113112033. The reversal of 32113112031 is 13021131123.

32113112031 is a `hidden beast` number, since 321 + 1 + 311 + 2 + 0 + 31 = 666.

It is not a de Polignac number, because 32113112031 - 29 = 32113111519 is a prime.

It is a super-2 number, since 2×321131120312 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 32113111995 and 32113112013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32113112033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 689151 + ... + 734271.

It is an arithmetic number, because the mean of its divisors is an integer number (656976320).

Almost surely, 232113112031 is an apocalyptic number.

32113112031 is a deficient number, since it is larger than the sum of its proper divisors (30956614689).

32113112031 is a wasteful number, since it uses less digits than its factorization.

32113112031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45237 (or 45234 counting only the distinct ones).

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

Adding to 32113112031 its reverse (13021131123), we get a palindrome (45134243154).

The spelling of 32113112031 in words is "thirty-two billion, one hundred thirteen million, one hundred twelve thousand, thirty-one".

Divisors: 1 3 7 9 11 13 21 33 39 63 77 79 91 99 117 143 231 237 273 429 553 693 711 819 869 1001 1027 1287 1659 2607 3003 3081 4977 6083 7189 7821 9009 9243 11297 18249 21567 33891 45121 54747 64701 79079 101673 135363 237237 315847 406089 496331 586573 711711 947541 1488993 1759719 2842623 3474317 3564559 4106011 4466979 5279157 6452303 10422951 10693677 12318033 19356909 24951913 31268853 32081031 36954099 39210149 45166121 46339267 58070727 74855739 117630447 135498363 139017801 224567217 274471043 324374869 352891341 406495089 417053403 509731937 823413129 973124607 1529195811 2470239387 2919373821 3568123559 4587587433 10704370677 32113112031