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131520413205 = 3452314119207
BaseRepresentation
bin111101001111100111…
…0100011111000010101
3110120110212212020110000
41322133032203320111
54123323211210310
6140230350521513
712334125031626
oct1723716437025
9416425766400
10131520413205
1150860932075
12215a5b06299
13c52cb9330c
1465193a3a4d
15364b5914c0
hex1e9f3a3e15

131520413205 has 40 divisors (see below), whose sum is σ = 246013080192. Its totient is φ = 67094466912.

The previous prime is 131520413107. The next prime is 131520413239. The reversal of 131520413205 is 502314025131.

131520413205 is a `hidden beast` number, since 1 + 3 + 1 + 520 + 4 + 132 + 0 + 5 = 666.

It is not a de Polignac number, because 131520413205 - 28 = 131520412949 is a prime.

It is a super-2 number, since 2×1315204132052 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7050289 + ... + 7068918.

Almost surely, 2131520413205 is an apocalyptic number.

131520413205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131520413205 is a deficient number, since it is larger than the sum of its proper divisors (114492666987).

131520413205 is a wasteful number, since it uses less digits than its factorization.

131520413205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14119247 (or 14119238 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 131520413205 its reverse (502314025131), we get a palindrome (633834438336).

The spelling of 131520413205 in words is "one hundred thirty-one billion, five hundred twenty million, four hundred thirteen thousand, two hundred five".

Divisors: 1 3 5 9 15 23 27 45 69 81 115 135 207 345 405 621 1035 1863 3105 9315 14119207 42357621 70596035 127072863 211788105 324741761 381218589 635364315 974225283 1143655767 1623708805 1906092945 2922675849 4871126415 5718278835 8768027547 14613379245 26304082641 43840137735 131520413205