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14012400131301 = 31113174146862177
BaseRepresentation
bin1100101111101000010000…
…1000011101110011100101
31211121120110020221220001210
43023322010020131303211
53314034343413200201
645445112512542033
72644235223623625
oct313720410356345
954546406856053
1014012400131301
114512697631890
1216a3844551919
137a8495c74a50
143662bd286885
1519476485b1d6
hexcbe8421dce5

14012400131301 has 64 divisors (see below), whose sum is σ = 23807486013696. Its totient is φ = 7198030233600.

The previous prime is 14012400131281. The next prime is 14012400131321. The reversal of 14012400131301 is 10313100421041.

14012400131301 is digitally balanced in base 2, 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 (14012400131281) and next prime (14012400131321).

It is not a de Polignac number, because 14012400131301 - 211 = 14012400129253 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14012400131321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23132076 + ... + 23730101.

It is an arithmetic number, because the mean of its divisors is an integer number (371991968964).

Almost surely, 214012400131301 is an apocalyptic number.

14012400131301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14012400131301 is a deficient number, since it is larger than the sum of its proper divisors (9795085882395).

14012400131301 is a wasteful number, since it uses less digits than its factorization.

14012400131301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46862262.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 14012400131301 its reverse (10313100421041), we get a palindrome (24325500552342).

The spelling of 14012400131301 in words is "fourteen trillion, twelve billion, four hundred million, one hundred thirty-one thousand, three hundred one".

Divisors: 1 3 11 13 17 33 39 41 51 123 143 187 221 429 451 533 561 663 697 1353 1599 2091 2431 5863 7293 7667 9061 17589 23001 27183 99671 299013 46862177 140586531 515483947 609208301 796657009 1546451841 1827624903 1921349257 2389971027 5764047771 6701291311 8763227099 10356541117 20103873933 21134841827 24977540341 26289681297 31069623351 32662937369 63404525481 74932621023 97988812107 113921952287 274752943751 341765856861 359292311059 424618185797 824258831253 1077876933177 1273854557391 4670800043767 14012400131301