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31312321001 = 133197801011
BaseRepresentation
bin11101001010010111…
…000001100111101001
32222211012122201100122
4131022113001213221
51003111423233001
622215031413025
72155643223413
oct351227014751
988735581318
1031312321001
1112308a97245
12609a524175
132c502251c0
1417308559b3
15c33e4eb1b
hex74a5c19e9

31312321001 has 16 divisors (see below), whose sum is σ = 35167630848. Its totient is φ = 27682905600.

The previous prime is 31312320979. The next prime is 31312321009. The reversal of 31312321001 is 10012321313.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31312321001 is a prime.

It is a super-2 number, since 2×313123210012 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31312321009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 361415 + ... + 439596.

It is an arithmetic number, because the mean of its divisors is an integer number (2197976928).

Almost surely, 231312321001 is an apocalyptic number.

31312321001 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

31312321001 is a deficient number, since it is larger than the sum of its proper divisors (3855309847).

31312321001 is a wasteful number, since it uses less digits than its factorization.

31312321001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801152.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 31312321001 its reverse (10012321313), we get a palindrome (41324642314).

The spelling of 31312321001 in words is "thirty-one billion, three hundred twelve million, three hundred twenty-one thousand, one".

Divisors: 1 13 31 97 403 1261 3007 39091 801011 10413143 24831341 77698067 322807433 1010074871 2408640077 31312321001