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131133100319 = 1312779426469
BaseRepresentation
bin111101000100000100…
…1000101000100011111
3110112110220001201001022
41322020021011010133
54122030033202234
6140124113234355
712321412650554
oct1721011050437
9415426051038
10131133100319
1150682242181
12214b82629bb
13c49a8746b0
1464bdb82a2b
153627586e2e
hex1e8824511f

131133100319 has 8 divisors (see below), whose sum is σ = 142332234240. Its totient is φ = 120092819616.

The previous prime is 131133100291. The next prime is 131133100321. The reversal of 131133100319 is 913001331131.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131133100319 - 216 = 131133034783 is a prime.

It is a super-2 number, since 2×1311331003192 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131133100349) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39711584 + ... + 39714885.

It is an arithmetic number, because the mean of its divisors is an integer number (17791529280).

Almost surely, 2131133100319 is an apocalyptic number.

131133100319 is a deficient number, since it is larger than the sum of its proper divisors (11199133921).

131133100319 is a wasteful number, since it uses less digits than its factorization.

131133100319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79426609.

The product of its (nonzero) digits is 729, while the sum is 26.

The spelling of 131133100319 in words is "one hundred thirty-one billion, one hundred thirty-three million, one hundred thousand, three hundred nineteen".

Divisors: 1 13 127 1651 79426469 1032544097 10087161563 131133100319