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131023333031 = 3711932968291
BaseRepresentation
bin111101000000110011…
…0010110011010100111
3110112012020111221122012
41322001212112122213
54121313433124111
6140105152424435
712315610645403
oct1720146263247
9415166457565
10131023333031
115062628a408
122148754811b
13c480bc1236
1464ad36c103
15361cb0348b
hex1e819966a7

131023333031 has 8 divisors (see below), whose sum is σ = 134677344624. Its totient is φ = 127375260480.

The previous prime is 131023332953. The next prime is 131023333033. The reversal of 131023333031 is 130333320131.

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-131023333031 is a prime.

It is a super-2 number, since 2×1310233330312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131023332988 and 131023333006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131023333033) 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, 1440005 + ... + 1528286.

It is an arithmetic number, because the mean of its divisors is an integer number (16834668078).

Almost surely, 2131023333031 is an apocalyptic number.

131023333031 is a deficient number, since it is larger than the sum of its proper divisors (3654011593).

131023333031 is a wasteful number, since it uses less digits than its factorization.

131023333031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2969521.

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 131023333031 its reverse (130333320131), we get a palindrome (261356653162).

The spelling of 131023333031 in words is "one hundred thirty-one billion, twenty-three million, three hundred thirty-three thousand, thirty-one".

Divisors: 1 37 1193 44141 2968291 109826767 3541171163 131023333031