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31312132321 = 10912713916273
BaseRepresentation
bin11101001010010110…
…010011100011100001
32222211012022010112111
4131022112103203201
51003111401213241
622215023355321
72155641506341
oct351226234341
988735263474
1031312132321
1112308978508
12609a452b41
132c5018a362
141730806d21
15c33e13c81
hex74a5938e1

31312132321 has 16 divisors (see below), whose sum is σ = 32079308800. Its totient is φ = 30557253888.

The previous prime is 31312132309. The next prime is 31312132331. The reversal of 31312132321 is 12323121313.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31312132321 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 31312132292 and 31312132301.

It is not an unprimeable number, because it can be changed into a prime (31312132301) by changing a digit.

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, 1916041 + ... + 1932313.

It is an arithmetic number, because the mean of its divisors is an integer number (2004956800).

Almost surely, 231312132321 is an apocalyptic number.

It is an amenable number.

31312132321 is a deficient number, since it is larger than the sum of its proper divisors (767176479).

31312132321 is a wasteful number, since it uses less digits than its factorization.

31312132321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16648.

The product of its digits is 648, while the sum is 22.

Adding to 31312132321 its reverse (12323121313), we get a palindrome (43635253634).

The spelling of 31312132321 in words is "thirty-one billion, three hundred twelve million, one hundred thirty-two thousand, three hundred twenty-one".

Divisors: 1 109 127 139 13843 15151 16273 17653 1773757 1924177 2066671 2261947 225267139 246552223 287267269 31312132321