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31231100113213 = 7111350596167207
BaseRepresentation
bin1110001100111100011101…
…01000001101000100111101
311002120122221001202022110111
413012132032220031010331
513043142243112110323
6150231211435110021
76402241526605240
oct706361650150475
9132518831668414
1031231100113213
119a51042903550
1236049682a2311
131457106cac3c0
1479d84408b257
153925d4e97c0d
hex1c678ea0d13d

31231100113213 has 32 divisors (see below), whose sum is σ = 41940961413120. Its totient is φ = 22459484122560.

The previous prime is 31231100113193. The next prime is 31231100113217.

31231100113213 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 31231100113213 - 25 = 31231100113181 is a prime.

It is a super-2 number, since 2×312311001132132 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31231100113217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1980456 + ... + 8147662.

It is an arithmetic number, because the mean of its divisors is an integer number (1310655044160).

Almost surely, 231231100113213 is an apocalyptic number.

It is an amenable number.

31231100113213 is a deficient number, since it is larger than the sum of its proper divisors (10709861299907).

31231100113213 is a wasteful number, since it uses less digits than its factorization.

31231100113213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6172297.

The product of its (nonzero) digits is 324, while the sum is 22.

It can be divided in two parts, 31231100 and 113213, that added together give a palindrome (31344313).

The spelling of 31231100113213 in words is "thirty-one trillion, two hundred thirty-one billion, one hundred million, one hundred thirteen thousand, two hundred thirteen".

Divisors: 1 7 11 13 77 91 143 1001 5059 35413 55649 65767 389543 460369 723437 5064059 6167207 43170449 67839277 80173691 474874939 561215837 881910601 6173374207 31199900213 218399301491 343198902343 405598702769 2402392316401 2839190919383 4461585730459 31231100113213