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31332023203113 = 367910912739301
BaseRepresentation
bin1110001111111000011100…
…00111001111010100101001
311002221022102120100111000000
413013330032013033110221
513101320440414444423
6150345422135133213
76412443512661033
oct707741607172451
9132838376314000
1031332023203113
119a8a922301766
123620433214209
13146379bb0b189
147a4699958c53
15395040270843
hex1c7f0e1cf529

31332023203113 has 112 divisors (see below), whose sum is σ = 48386861670400. Its totient is φ = 20272986115200.

The previous prime is 31332023203093. The next prime is 31332023203133. The reversal of 31332023203113 is 31130232023313.

31332023203113 is a `hidden beast` number, since 3 + 1 + 3 + 3 + 20 + 2 + 320 + 311 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (31332023203093) and next prime (31332023203133).

It is not a de Polignac number, because 31332023203113 - 26 = 31332023203049 is a prime.

It is a super-2 number, since 2×313320232031132 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31332023203133) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 797212563 + ... + 797251863.

Almost surely, 231332023203113 is an apocalyptic number.

It is an amenable number.

31332023203113 is a deficient number, since it is larger than the sum of its proper divisors (17054838467287).

31332023203113 is a wasteful number, since it uses less digits than its factorization.

31332023203113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39634 (or 39619 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 31332023203113 its reverse (31130232023313), we get a palindrome (62462255226426).

The spelling of 31332023203113 in words is "thirty-one trillion, three hundred thirty-two billion, twenty-three million, two hundred three thousand, one hundred thirteen".

Divisors: 1 3 9 27 79 81 109 127 237 243 327 381 711 729 981 1143 2133 2943 3429 6399 8611 8829 10033 10287 13843 19197 25833 26487 30099 30861 39301 41529 57591 77499 79461 90297 92583 117903 124587 232497 270891 353709 373761 697491 812673 1061127 1093597 1121283 2092473 2438019 3104779 3183381 3280791 3363849 4283809 4991227 6277419 7314057 9314337 9550143 9842373 10091547 12851427 14973681 27943011 28650429 29527119 38554281 44921043 83829033 88581357 115662843 134763129 251487099 265744071 338420911 346988529 394306933 404289387 544043743 754461297 797232213 1015262733 1040965587 1182920799 1212868161 1632131229 2263383891 3045788199 3122896761 3548762397 3638604483 4896393687 9137364597 10646287191 14689181061 27412093791 31938861573 42979455697 44067543183 82236281373 95816584719 128938367091 132202629549 246708844119 287449754157 386815101273 396607888647 1160445303819 3481335911457 10444007734371 31332023203113