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131012143414141 = 11294322814187233
BaseRepresentation
bin11101110010011110100100…
…010001001111101101111101
3122011212122020112102001211011
4131302132210101033231331
5114133000332203223031
61142350051531555221
736411213021604333
oct3562364421175575
9564778215361734
10131012143414141
1138820a35528980
121283b0458bbb11
135814513619882
14244d0432b5b53
151022dd6e5d6b1
hex7727a444fb7d

131012143414141 has 32 divisors (see below), whose sum is σ = 151355444929920. Its totient is φ = 112271414169600.

The previous prime is 131012143414133. The next prime is 131012143414153. The reversal of 131012143414141 is 141414341210131.

It is a cyclic number.

It is not a de Polignac number, because 131012143414141 - 23 = 131012143414133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131012143414171) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29194861 + ... + 33382093.

It is an arithmetic number, because the mean of its divisors is an integer number (4729857654060).

Almost surely, 2131012143414141 is an apocalyptic number.

131012143414141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131012143414141 is a deficient number, since it is larger than the sum of its proper divisors (20343301515779).

131012143414141 is a wasteful number, since it uses less digits than its factorization.

131012143414141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4189597.

The product of its (nonzero) digits is 4608, while the sum is 31.

Adding to 131012143414141 its reverse (141414341210131), we get a palindrome (272426484624272).

The spelling of 131012143414141 in words is "one hundred thirty-one trillion, twelve billion, one hundred forty-three million, four hundred fourteen thousand, one hundred forty-one".

Divisors: 1 11 29 43 319 473 1247 2281 13717 25091 66149 98083 727639 1078913 2844407 4187233 31288477 46059563 121429757 180051019 1335727327 1980561209 5221479551 9551078473 57436275061 105061863203 276981275717 410696374339 3046794032887 4517660117729 11910194855831 131012143414141