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131403401040312 = 23323213135679967
BaseRepresentation
bin11101111000001010111101…
…000010101001000110111000
3122020021001010221122211110200
4131320022331002221012320
5114210403131131242222
61143245520012442200
736451403526551112
oct3570127502510670
9566231127584420
10131403401040312
1138961962231435
12128a2a39179360
13584239798a53b
142463d5c3663b2
15102d1860b8eac
hex7782bd0a91b8

131403401040312 has 48 divisors (see below), whose sum is σ = 355885381400640. Its totient is φ = 43800989649408.

The previous prime is 131403401040287. The next prime is 131403401040337. The reversal of 131403401040312 is 213040104304131.

131403401040312 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 0 + 340 + 1 + 0 + 4 + 0 + 312 = 666.

131403401040312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (131403401040287) and next prime (131403401040337).

It is a super-2 number, since 2×1314034010403122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20294553 + ... + 25974519.

It is an arithmetic number, because the mean of its divisors is an integer number (7414278779180).

Almost surely, 2131403401040312 is an apocalyptic number.

131403401040312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131403401040312 is an abundant number, since it is smaller than the sum of its proper divisors (224481980360328).

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

131403401040312 is a wasteful number, since it uses less digits than its factorization.

131403401040312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6001292 (or 6001285 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 131403401040312 its reverse (213040104304131), we get a palindrome (344443505344443).

The spelling of 131403401040312 in words is "one hundred thirty-one trillion, four hundred three billion, four hundred one million, forty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 321313 642626 963939 1285252 1927878 2570504 2891817 3855756 5679967 5783634 7711512 11359934 11567268 17039901 22719868 23134536 34079802 45439736 51119703 68159604 102239406 136319208 204478812 408957624 1825047236671 3650094473342 5475141710013 7300188946684 10950283420026 14600377893368 16425425130039 21900566840052 32850850260078 43801133680104 65701700520156 131403401040312