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31303211323132 = 22729277800917377
BaseRepresentation
bin1110001111000010110001…
…10010101000111011111100
311002211120001121201022220001
413013201120302220323330
513100332434044320012
6150324255144404044
76410403521020660
oct707413062507374
9132746047638801
1031303211323132
119a7968779a901
123616932176624
131460b5993b098
147a312522a8a0
15394405ad7357
hex1c7858ca8efc

31303211323132 has 96 divisors (see below), whose sum is σ = 65010931171200. Its totient is φ = 12903936933888.

The previous prime is 31303211323127. The next prime is 31303211323207. The reversal of 31303211323132 is 23132311230313.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 31303211323132.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1801407628 + ... + 1801425004.

It is an arithmetic number, because the mean of its divisors is an integer number (677197199700).

Almost surely, 231303211323132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31303211323132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32505465585600).

31303211323132 is an abundant number, since it is smaller than the sum of its proper divisors (33707719848068).

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

31303211323132 is a wasteful number, since it uses less digits than its factorization.

31303211323132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25703 (or 25701 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 31303211323132 its reverse (23132311230313), we get a palindrome (54435522553445).

The spelling of 31303211323132 in words is "thirty-one trillion, three hundred three billion, two hundred eleven million, three hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 29 58 116 203 277 406 554 812 1108 1939 3878 7756 8009 8033 16018 16066 17377 32036 32132 34754 56063 56231 69508 112126 112462 121639 224252 224924 232261 243278 464522 486556 503933 929044 1007866 1625827 2015732 2218493 3251654 3527531 4436986 4813429 6503308 7055062 8873972 9626858 14110124 15529451 19253716 31058902 33694003 62117804 64336297 67388006 128672594 134776012 139172393 139589441 257345188 278344786 279178882 450354079 556689572 558357764 900708158 974206751 977126087 1801416316 1948413502 1954252174 3896827004 3908504348 4035999397 8071998794 16143997588 28251995779 38550752861 56503991558 77101505722 113007983116 154203011444 269855270027 539710540054 1079421080108 1117971832969 2235943665938 4471887331876 7825802830783 15651605661566 31303211323132