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31583336681 = 1321069174821
BaseRepresentation
bin11101011010100000…
…110111100011101001
310000112002121201222102
4131122200313203221
51004140313233211
622301552303145
72165443634531
oct353240674351
9100462551872
1031583336681
1112437a74346
126155241ab5
132c94415400
1417588424c1
15c4cb35a3b
hex75a8378e9

31583336681 has 12 divisors (see below), whose sum is σ = 34231895820. Its totient is φ = 29126410560.

The previous prime is 31583336671. The next prime is 31583336683. The reversal of 31583336681 is 18663338513.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 15222624400 + 16360712281 = 123380^2 + 127909^2 .

It is not a de Polignac number, because 31583336681 - 222 = 31579142377 is a prime.

It is a super-2 number, since 2×315833366812 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (31583336683) 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 11 ways as a sum of consecutive naturals, for example, 93251 + ... + 268071.

It is an arithmetic number, because the mean of its divisors is an integer number (2852657985).

Almost surely, 231583336681 is an apocalyptic number.

It is an amenable number.

31583336681 is a deficient number, since it is larger than the sum of its proper divisors (2648559139).

31583336681 is a wasteful number, since it uses less digits than its factorization.

31583336681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175916 (or 175903 counting only the distinct ones).

The product of its digits is 933120, while the sum is 47.

The spelling of 31583336681 in words is "thirty-one billion, five hundred eighty-three million, three hundred thirty-six thousand, six hundred eighty-one".

Divisors: 1 13 169 1069 13897 174821 180661 2272673 29544749 186883649 2429487437 31583336681