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31371517032 = 23341233293467
BaseRepresentation
bin11101001101111000…
…110101110001101000
32222222100001012001020
4131031320311301220
51003222102021112
622224544252440
72160262331532
oct351570656150
988870035036
1031371517032
1112339449089
1260b6311120
132c5c58023b
141738664852
15c3924448c
hex74de35c68

31371517032 has 128 divisors (see below), whose sum is σ = 81135250560. Its totient is φ = 10101985280.

The previous prime is 31371517031. The next prime is 31371517039. The reversal of 31371517032 is 23071517313.

It is a junction number, because it is equal to n+sod(n) for n = 31371516984 and 31371517002.

It is not an unprimeable number, because it can be changed into a prime (31371517031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67176463 + ... + 67176929.

It is an arithmetic number, because the mean of its divisors is an integer number (633869145).

Almost surely, 231371517032 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 31371517032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40567625280).

31371517032 is an abundant number, since it is smaller than the sum of its proper divisors (49763733528).

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

31371517032 is a wasteful number, since it uses less digits than its factorization.

31371517032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 33.

The spelling of 31371517032 in words is "thirty-one billion, three hundred seventy-one million, five hundred seventeen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 233 246 293 328 466 467 492 586 699 879 932 934 984 1172 1398 1401 1758 1864 1868 2344 2796 2802 3516 3736 5592 5604 7032 9553 11208 12013 19106 19147 24026 28659 36039 38212 38294 48052 57318 57441 68269 72078 76424 76588 96104 108811 114636 114882 136538 136831 144156 153176 204807 217622 229272 229764 273076 273662 288312 326433 409614 410493 435244 459528 546152 547324 652866 819228 820986 870488 1094648 1305732 1638456 1641972 2611464 2799029 3283944 4461251 5598058 5610071 8397087 8922502 11196116 11220142 13383753 16794174 16830213 17845004 22392232 22440284 26767506 31881623 33588348 33660426 35690008 44880568 53535012 63763246 67176696 67320852 95644869 107070024 127526492 134641704 191289738 255052984 382579476 765158952 1307146543 2614293086 3921439629 5228586172 7842879258 10457172344 15685758516 31371517032