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131142110013240 = 23353808032869859
BaseRepresentation
bin11101110100010111100110…
…111000011110011100111000
3122012100001201010111101000120
4131310113212320132130320
5114142113020130410430
61142525504215133240
736423463511510064
oct3564274670363470
9565301633441016
10131142110013240
1138871069264457
1212860277374220
1358238565c8451
142455452168aa4
151026491dc5610
hex7745e6e1e738

131142110013240 has 64 divisors (see below), whose sum is σ = 393427500278400. Its totient is φ = 34971125315712.

The previous prime is 131142110013217. The next prime is 131142110013241. The reversal of 131142110013240 is 42310011241131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 131142110013240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131142110013241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44261431 + ... + 47131289.

It is an arithmetic number, because the mean of its divisors is an integer number (6147304691850).

Almost surely, 2131142110013240 is an apocalyptic number.

131142110013240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131142110013240 is an abundant number, since it is smaller than the sum of its proper divisors (262285390265160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131142110013240 is a wasteful number, since it uses less digits than its factorization.

131142110013240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3250676 (or 3250672 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 131142110013240 its reverse (42310011241131), we get a palindrome (173452121254371).

The spelling of 131142110013240 in words is "one hundred thirty-one trillion, one hundred forty-two billion, one hundred ten million, thirteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 380803 761606 1142409 1523212 1904015 2284818 2869859 3046424 3808030 4569636 5712045 5739718 7616060 8609577 9139272 11424090 11479436 14349295 15232120 17219154 22848180 22958872 28698590 34438308 43047885 45696360 57397180 68876616 86095770 114794360 172191540 344383080 1092850916777 2185701833554 3278552750331 4371403667108 5464254583885 6557105500662 8742807334216 10928509167770 13114211001324 16392763751655 21857018335540 26228422002648 32785527503310 43714036671080 65571055006620 131142110013240