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31261416213 = 3611131511747
BaseRepresentation
bin11101000111010100…
…110101101100010101
32222200122212111010010
4131013110311230111
51003010410304323
622210012350433
72154454440066
oct350724655425
988618774103
1031261416213
1112292288775
126085475419
132c42811021
141727ba456d
15c2e746c93
hex747535b15

31261416213 has 16 divisors (see below), whose sum is σ = 42740139456. Its totient is φ = 20317866240.

The previous prime is 31261416209. The next prime is 31261416239.

31261416213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31261416213 - 22 = 31261416209 is a prime.

It is a super-2 number, since 2×312614162132 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31261416293) 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 15 ways as a sum of consecutive naturals, for example, 735195 + ... + 776552.

It is an arithmetic number, because the mean of its divisors is an integer number (2671258716).

Almost surely, 231261416213 is an apocalyptic number.

It is an amenable number.

31261416213 is a deficient number, since it is larger than the sum of its proper divisors (11478723243).

31261416213 is a wasteful number, since it uses less digits than its factorization.

31261416213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1511924.

The product of its digits is 5184, while the sum is 30.

The spelling of 31261416213 in words is "thirty-one billion, two hundred sixty-one million, four hundred sixteen thousand, two hundred thirteen".

Divisors: 1 3 61 113 183 339 6893 20679 1511747 4535241 92216567 170827411 276649701 512482233 10420472071 31261416213