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131230032131 = 11412711073711
BaseRepresentation
bin111101000110111101…
…0110110000100000011
3110112201122110100111102
41322031322312010003
54122224342012011
6140141455005015
712324000603602
oct1721572660403
9415648410442
10131230032131
1150721a28510
122152480976b
13c4b49827b3
1464cc9b5a39
153630d3273b
hex1e8deb6103

131230032131 has 16 divisors (see below), whose sum is σ = 147193030656. Its totient is φ = 115960680000.

The previous prime is 131230032119. The next prime is 131230032173.

131230032131 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-131230032131 is a prime.

It is a super-2 number, since 2×1312300321312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131230032931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 414635 + ... + 659076.

It is an arithmetic number, because the mean of its divisors is an integer number (9199564416).

Almost surely, 2131230032131 is an apocalyptic number.

131230032131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131230032131 is a deficient number, since it is larger than the sum of its proper divisors (15962998525).

131230032131 is a wasteful number, since it uses less digits than its factorization.

131230032131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074034.

The product of its (nonzero) digits is 324, while the sum is 20.

It can be divided in two parts, 1312300 and 32131, that added together give a palindrome (1344431).

The spelling of 131230032131 in words is "one hundred thirty-one billion, two hundred thirty million, thirty-two thousand, one hundred thirty-one".

Divisors: 1 11 41 271 451 2981 11111 122221 1073711 11810821 44022151 290975681 484243661 3200732491 11930002921 131230032131