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131230134049 = 7473932
BaseRepresentation
bin111101000110111101…
…1001110111100100001
3110112201122122112022011
41322031323032330201
54122224403242144
6140141501112521
712324001510000
oct1721573167441
9415648575264
10131230134049
1150721a98043
1221524858741
13c4b49b9cc1
1464cca00c37
153630d52a34
hex1e8decef21

131230134049 has 15 divisors (see below), whose sum is σ = 153113424243. Its totient is φ = 112467757248.

The previous prime is 131230134047. The next prime is 131230134103. The reversal of 131230134049 is 940431032131.

The square root of 131230134049 is 362257.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 21250350625 + 109979783424 = 145775^2 + 331632^2 .

It is not a de Polignac number, because 131230134049 - 21 = 131230134047 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131230134049.

It is not an unprimeable number, because it can be changed into a prime (131230134041) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 17746897 + ... + 17754289.

Almost surely, 2131230134049 is an apocalyptic number.

131230134049 is the 362257-th square number.

131230134049 is the 181129-th centered octagonal number.

It is an amenable number.

131230134049 is a deficient number, since it is larger than the sum of its proper divisors (21883290194).

131230134049 is an frugal number, since it uses more digits than its factorization.

131230134049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14814 (or 7400 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The spelling of 131230134049 in words is "one hundred thirty-one billion, two hundred thirty million, one hundred thirty-four thousand, forty-nine".

Divisors: 1 7 49 343 2401 7393 51751 362257 2535799 17750593 54656449 382595143 2678166001 18747162007 131230134049