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13045144154031 = 3211211979012079
BaseRepresentation
bin1011110111010100111100…
…1011101110111110101111
31201012002210112012011111100
42331311033023232332233
53202212423400412111
643424505000254143
72514323555520663
oct275651713567657
951162715164440
1013045144154031
11417a461874900
1215682a0471353
137381c86cc5b2
1433156189a8a3
15179502a9c756
hexbdd4f2eefaf

13045144154031 has 18 divisors (see below), whose sum is σ = 20711711886320. Its totient is φ = 7906147971480.

The previous prime is 13045144154011. The next prime is 13045144154041.

13045144154031 is a `hidden beast` number, since 1 + 3 + 0 + 45 + 1 + 4 + 41 + 540 + 31 = 666.

13045144154031 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13045144154031 - 29 = 13045144153519 is a prime.

It is a super-2 number, since 2×130451441540312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13045144154011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5989504951 + ... + 5989507128.

Almost surely, 213045144154031 is an apocalyptic number.

13045144154031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13045144154031 is a deficient number, since it is larger than the sum of its proper divisors (7666567732289).

13045144154031 is a wasteful number, since it uses less digits than its factorization.

13045144154031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11979012107 (or 11979012093 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

It can be divided in two parts, 1304514 and 4154031, that added together give a palindrome (5458545).

The spelling of 13045144154031 in words is "thirteen trillion, forty-five billion, one hundred forty-four million, one hundred fifty-four thousand, thirty-one".

Divisors: 1 3 9 11 33 99 121 363 1089 11979012079 35937036237 107811108711 131769132869 395307398607 1185922195821 1449460461559 4348381384677 13045144154031