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131013312241 = 7233312458451
BaseRepresentation
bin111101000000100000…
…0000111111011110001
3110112011112122211200211
41322001000013323301
54121303401442431
6140104153544121
712315426531310
oct1720100077361
9415145584624
10131013312241
1150620665669
1221484115041
13c47bac3086
1464abcc0277
15361bcc42b1
hex1e81007ef1

131013312241 has 16 divisors (see below), whose sum is σ = 156711564288. Its totient is φ = 107090082000.

The previous prime is 131013312239. The next prime is 131013312251. The reversal of 131013312241 is 142213310131.

It is a cyclic number.

It is not a de Polignac number, because 131013312241 - 21 = 131013312239 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131013312251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1175935 + ... + 1282516.

It is an arithmetic number, because the mean of its divisors is an integer number (9794472768).

Almost surely, 2131013312241 is an apocalyptic number.

It is an amenable number.

131013312241 is a deficient number, since it is larger than the sum of its proper divisors (25698252047).

131013312241 is a wasteful number, since it uses less digits than its factorization.

131013312241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2458812.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 131013312241 its reverse (142213310131), we get a palindrome (273226622372).

The spelling of 131013312241 in words is "one hundred thirty-one billion, thirteen million, three hundred twelve thousand, two hundred forty-one".

Divisors: 1 7 23 161 331 2317 7613 53291 2458451 17209157 56544373 395810611 813747281 5696230967 18716187463 131013312241