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131123005 = 5133754521
BaseRepresentation
bin1111101000011…
…00011100111101
3100010201201221121
413310030130331
5232031414010
621002230541
73151345546
oct764143475
9303651847
10131123005
1168019722
1237ab5451
132121c9a0
14135b34cd
15b7a13da
hex7d0c73d

131123005 has 16 divisors (see below), whose sum is σ = 174034224. Its totient is φ = 94210560.

The previous prime is 131122969. The next prime is 131123029. The reversal of 131123005 is 500321131.

It can be written as a sum of positive squares in 8 ways, for example, as 1026169 + 130096836 = 1013^2 + 11406^2 .

It is not a de Polignac number, because 131123005 - 27 = 131122877 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131123005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24856 + ... + 29665.

It is an arithmetic number, because the mean of its divisors is an integer number (10877139).

Almost surely, 2131123005 is an apocalyptic number.

It is an amenable number.

131123005 is a deficient number, since it is larger than the sum of its proper divisors (42911219).

131123005 is a wasteful number, since it uses less digits than its factorization.

131123005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54576.

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 131123005 is about 11450.8953798382. The cubic root of 131123005 is about 508.0342178885.

Adding to 131123005 its reverse (500321131), we get a palindrome (631444136).

The spelling of 131123005 in words is "one hundred thirty-one million, one hundred twenty-three thousand, five".

Divisors: 1 5 13 37 65 185 481 2405 54521 272605 708773 2017277 3543865 10086385 26224601 131123005