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13111431540435 = 325379776735619
BaseRepresentation
bin1011111011001011111000…
…1110000010111011010011
31201102102220012121021221200
42332302332032002323103
53204304202433243220
643515150345122243
72522161332150204
oct276627616027323
951372805537850
1013111431540435
1141a5588321378
1215790bba89383
13741530927c67
1433484d3ab5ab
1517b0d22a4890
hexbecbe382ed3

13111431540435 has 24 divisors (see below), whose sum is σ = 22732467011280. Its totient is φ = 6990921742272.

The previous prime is 13111431540413. The next prime is 13111431540463. The reversal of 13111431540435 is 53404513411131.

It is a happy number.

13111431540435 is a `hidden beast` number, since 1 + 31 + 1 + 1 + 43 + 1 + 540 + 43 + 5 = 666.

It is not a de Polignac number, because 13111431540435 - 216 = 13111431474899 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13111431540435.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38196945 + ... + 38538674.

It is an arithmetic number, because the mean of its divisors is an integer number (947186125470).

Almost surely, 213111431540435 is an apocalyptic number.

13111431540435 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13111431540435 is a deficient number, since it is larger than the sum of its proper divisors (9621035470845).

13111431540435 is a wasteful number, since it uses less digits than its factorization.

13111431540435 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76739427 (or 76739424 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 13111431540435 its reverse (53404513411131), we get a palindrome (66515944951566).

The spelling of 13111431540435 in words is "thirteen trillion, one hundred eleven billion, four hundred thirty-one million, five hundred forty thousand, four hundred thirty-five".

Divisors: 1 3 5 9 15 45 3797 11391 18985 34173 56955 170865 76735619 230206857 383678095 690620571 1151034285 3453102855 291365145343 874095436029 1456825726715 2622286308087 4370477180145 13111431540435