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31141211214113 = 7211132341869243
BaseRepresentation
bin1110001010010101000001…
…10101010001000100100001
311002021001220112221010010022
413011022200311101010201
513040204200032322423
6150122024104043225
76362610146560100
oct705124065210441
9132231815833108
1031141211214113
119a16a05976190
1235ab460763515
13144b7b01b9600
14799357c30037
153900c3764dc8
hex1c52a0d51121

31141211214113 has 36 divisors (see below), whose sum is σ = 42792457009968. Its totient is φ = 22399272735840.

The previous prime is 31141211214109. The next prime is 31141211214119.

31141211214113 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31141211214113 - 22 = 31141211214109 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31141211214119) 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 35 ways as a sum of consecutive naturals, for example, 170843531 + ... + 171025712.

It is an arithmetic number, because the mean of its divisors is an integer number (1188679361388).

Almost surely, 231141211214113 is an apocalyptic number.

It is an amenable number.

31141211214113 is a deficient number, since it is larger than the sum of its proper divisors (11651245795855).

31141211214113 is a wasteful number, since it uses less digits than its factorization.

31141211214113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341869294 (or 341869274 counting only the distinct ones).

The product of its digits is 576, while the sum is 26.

It can be divided in two parts, 3114121 and 1214113, that added together give a palindrome (4328234).

The spelling of 31141211214113 in words is "thirty-one trillion, one hundred forty-one billion, two hundred eleven million, two hundred fourteen thousand, one hundred thirteen".

Divisors: 1 7 11 13 49 77 91 143 169 539 637 1001 1183 1859 7007 8281 13013 91091 341869243 2393084701 3760561673 4444300159 16751592907 26323931711 31110101113 48887301749 57775902067 184267521977 217770707791 342211112243 404431314469 635534922737 2395477785701 2831019201283 4448744459159 31141211214113