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31513315232 = 257199823859
BaseRepresentation
bin11101010110010101…
…110000011110100000
310000100012212021121102
4131112111300132200
51004014402041412
622251011413532
72163633521420
oct352625603640
9100305767542
1031513315232
1112401499183
1261358b42a8
132c82a69bb9
14174d416480
15c469038c2
hex7565707a0

31513315232 has 96 divisors (see below), whose sum is σ = 71430912000. Its totient is φ = 13405886208.

The previous prime is 31513315217. The next prime is 31513315277. The reversal of 31513315232 is 23251331513.

It is a happy number.

It is a super-2 number, since 2×315133152322 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31513315195 and 31513315204.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 36685619 + ... + 36686477.

It is an arithmetic number, because the mean of its divisors is an integer number (744072000).

Almost surely, 231513315232 is an apocalyptic number.

31513315232 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31513315232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35715456000).

31513315232 is an abundant number, since it is smaller than the sum of its proper divisors (39917596768).

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

31513315232 is a wasteful number, since it uses less digits than its factorization.

31513315232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1898 (or 1890 counting only the distinct ones).

The product of its digits is 8100, while the sum is 29.

Adding to 31513315232 its reverse (23251331513), we get a palindrome (54764646745).

The spelling of 31513315232 in words is "thirty-one billion, five hundred thirteen million, three hundred fifteen thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 199 224 398 796 823 859 1393 1592 1646 1718 2786 3184 3292 3436 5572 5761 6013 6368 6584 6872 11144 11522 12026 13168 13744 22288 23044 24052 26336 27488 44576 46088 48104 92176 96208 163777 170941 184352 192416 327554 341882 655108 683764 706957 1146439 1196587 1310216 1367528 1413914 2292878 2393174 2620432 2735056 2827828 4585756 4786348 4948699 5240864 5470112 5655656 9171512 9572696 9897398 11311312 18343024 19145392 19794796 22622624 36686048 38290784 39589592 79179184 140684443 158358368 281368886 562737772 984791101 1125475544 1969582202 2250951088 3939164404 4501902176 7878328808 15756657616 31513315232