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31322131331 = 232002967993
BaseRepresentation
bin11101001010111100…
…011100101110000011
32222211220010010121012
4131022330130232003
51003121431200311
622220021551135
72156122503101
oct351274345603
988756103535
1031322131331
1112313587957
1260a18754ab
132c5227b62a
141731c8ac71
15c34c3b78b
hex74af1cb83

31322131331 has 8 divisors (see below), whose sum is σ = 32686075680. Its totient is φ = 29958363072.

The previous prime is 31322131307. The next prime is 31322131349. The reversal of 31322131331 is 13313122313.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31322131331 is a prime.

It is a super-2 number, since 2×313221313312 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 31322131297 and 31322131306.

It is not an unprimeable number, because it can be changed into a prime (31322131301) 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 7 ways as a sum of consecutive naturals, for example, 426671 + ... + 494663.

It is an arithmetic number, because the mean of its divisors is an integer number (4085759460).

Almost surely, 231322131331 is an apocalyptic number.

31322131331 is a deficient number, since it is larger than the sum of its proper divisors (1363944349).

31322131331 is a wasteful number, since it uses less digits than its factorization.

31322131331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88045.

The product of its digits is 972, while the sum is 23.

Adding to 31322131331 its reverse (13313122313), we get a palindrome (44635253644).

The spelling of 31322131331 in words is "thirty-one billion, three hundred twenty-two million, one hundred thirty-one thousand, three hundred thirty-one".

Divisors: 1 23 20029 67993 460667 1563839 1361831797 31322131331