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31431011013413 = 1117478940181753
BaseRepresentation
bin1110010010110000110100…
…01111110001001100100101
311010021202221012101021000022
413021120122033301030211
513104431202304412123
6150503112423324525
76422546516326124
oct711303217611445
9133252835337008
1031431011013413
11a0188a9348750
123637659bb0745
13146cc15a032ab
147a93aa3b7abb
153978d56bc1c8
hex1c961a3f1325

31431011013413 has 32 divisors (see below), whose sum is σ = 37494398292480. Its totient is φ = 26024917135360.

The previous prime is 31431011013401. The next prime is 31431011013419.

31431011013413 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31431011013413 - 240 = 30331499385637 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31431011013419) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19308656 + ... + 20873097.

It is an arithmetic number, because the mean of its divisors is an integer number (1171699946640).

Almost surely, 231431011013413 is an apocalyptic number.

It is an amenable number.

31431011013413 is a deficient number, since it is larger than the sum of its proper divisors (6063387279067).

31431011013413 is a wasteful number, since it uses less digits than its factorization.

31431011013413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40181917.

The product of its (nonzero) digits is 1296, while the sum is 26.

It can be divided in two parts, 3143101 and 1013413, that added together give a palindrome (4156514).

The spelling of 31431011013413 in words is "thirty-one trillion, four hundred thirty-one billion, eleven million, thirteen thousand, four hundred thirteen".

Divisors: 1 11 17 47 89 187 517 799 979 1513 4183 8789 16643 46013 71111 782221 40181753 441999283 683089801 1888542391 3576176017 7513987811 20773966301 32105220647 39337936187 60794992289 168080272799 353157427117 668744915179 1848883000789 2857364637583 31431011013413