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131140969713 = 321317102164577
BaseRepresentation
bin111101000100010011…
…1000110010011110001
3110112111102212111211100
41322020213012103301
54122034042012323
6140124554035013
712321536564445
oct1721047062361
9415442774740
10131140969713
1150686727606
12214baa18a69
13c49c39b540
1464c0c30825
1536280dd943
hex1e889c64f1

131140969713 has 48 divisors (see below), whose sum is σ = 216211793616. Its totient is φ = 75879383040.

The previous prime is 131140969697. The next prime is 131140969723. The reversal of 131140969713 is 317969041131.

It can be written as a sum of positive squares in 8 ways, for example, as 1391886864 + 129749082849 = 37308^2 + 360207^2 .

It is not a de Polignac number, because 131140969713 - 24 = 131140969697 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131140969723) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1998481 + ... + 2063057.

It is an arithmetic number, because the mean of its divisors is an integer number (4504412367).

Almost surely, 2131140969713 is an apocalyptic number.

131140969713 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131140969713 is a deficient number, since it is larger than the sum of its proper divisors (85070823903).

131140969713 is a wasteful number, since it uses less digits than its factorization.

131140969713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65634 (or 65631 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 131140969713 in words is "one hundred thirty-one billion, one hundred forty million, nine hundred sixty-nine thousand, seven hundred thirteen".

Divisors: 1 3 9 13 17 39 51 117 153 221 663 1021 1989 3063 9189 13273 17357 39819 52071 64577 119457 156213 193731 225641 581193 676923 839501 1097809 2030769 2518503 3293427 7555509 9880281 14271517 42814551 65933117 128443653 197799351 593398053 857130521 1120862989 2571391563 3362588967 7714174689 10087766901 14571218857 43713656571 131140969713