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2680011131 = 71073578119
BaseRepresentation
bin1001111110111101…
…1011100101111011
320220202220200010112
42133233123211323
520442040324011
61121533534535
7123261501350
oct23757334573
96822820115
102680011131
111155884036
1262964444b
13339308405
141b5d0c627
1510a43758b
hex9fbdb97b

2680011131 has 8 divisors (see below), whose sum is σ = 3091495680. Its totient is φ = 2275683048.

The previous prime is 2680011119. The next prime is 2680011167. The reversal of 2680011131 is 1311100862.

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 2680011131 - 26 = 2680011067 is a prime.

It is a super-2 number, since 2×26800111312 = 14364919324567798322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2680011097 and 2680011106.

It is not an unprimeable number, because it can be changed into a prime (2680011031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1788311 + ... + 1789808.

It is an arithmetic number, because the mean of its divisors is an integer number (386436960).

Almost surely, 22680011131 is an apocalyptic number.

2680011131 is a deficient number, since it is larger than the sum of its proper divisors (411484549).

2680011131 is a wasteful number, since it uses less digits than its factorization.

2680011131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3578233.

The product of its (nonzero) digits is 288, while the sum is 23.

The square root of 2680011131 is about 51768.8239290792. The cubic root of 2680011131 is about 1389.0318346501.

Adding to 2680011131 its reverse (1311100862), we get a palindrome (3991111993).

It can be divided in two parts, 268001 and 1131, that multiplied together give a triangular number (303109131 = T24621).

The spelling of 2680011131 in words is "two billion, six hundred eighty million, eleven thousand, one hundred thirty-one".

Divisors: 1 7 107 749 3578119 25046833 382858733 2680011131