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33031312131 = 3337264712343
BaseRepresentation
bin11110110000110100…
…011101001100000011
310011021000020111212210
4132300310131030003
51020122003442011
623101355353203
72246355343356
oct366064351403
9104230214783
1033031312131
1113010350774
12649a152803
1331653c090c
141854c8229d
15cd4d056a6
hex7b0d1d303

33031312131 has 16 divisors (see below), whose sum is σ = 44192705024. Its totient is φ = 21945458304.

The previous prime is 33031312123. The next prime is 33031312141. The reversal of 33031312131 is 13121313033.

It is not a de Polignac number, because 33031312131 - 23 = 33031312123 is a prime.

It is a super-2 number, since 2×330313121312 (a number of 22 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 = 33031312098 and 33031312107.

It is not an unprimeable number, because it can be changed into a prime (33031312141) 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, 2669946 + ... + 2682288.

It is an arithmetic number, because the mean of its divisors is an integer number (2762044064).

Almost surely, 233031312131 is an apocalyptic number.

33031312131 is a deficient number, since it is larger than the sum of its proper divisors (11161392893).

33031312131 is a wasteful number, since it uses less digits than its factorization.

33031312131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15330.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 33031312131 its reverse (13121313033), we get a palindrome (46152625164).

The spelling of 33031312131 in words is "thirty-three billion, thirty-one million, three hundred twelve thousand, one hundred thirty-one".

Divisors: 1 3 337 1011 2647 7941 12343 37029 892039 2676117 4159591 12478773 32671921 98015763 11010437377 33031312131