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13544705031 = 3112132870249
BaseRepresentation
bin11001001110101001…
…11100110000000111
31021221221202022021220
430213110330300013
5210214421030111
610120010011423
7656436043644
oct144724746007
937857668256
1013544705031
1158206a6400
122760116b73
13137b1aa080
14926c3adcb
1554419ae06
hex32753cc07

13544705031 has 24 divisors (see below), whose sum is σ = 21377622000. Its totient is φ = 7577454720.

The previous prime is 13544705021. The next prime is 13544705071. The reversal of 13544705031 is 13050744531.

13544705031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13544705031 - 27 = 13544704903 is a prime.

It is a super-2 number, since 2×135447050312 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 13544704983 and 13544705001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13544705021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1430406 + ... + 1439843.

It is an arithmetic number, because the mean of its divisors is an integer number (890734250).

Almost surely, 213544705031 is an apocalyptic number.

13544705031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13544705031 is a deficient number, since it is larger than the sum of its proper divisors (7832916969).

13544705031 is a wasteful number, since it uses less digits than its factorization.

13544705031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2870287 (or 2870276 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The spelling of 13544705031 in words is "thirteen billion, five hundred forty-four million, seven hundred five thousand, thirty-one".

Divisors: 1 3 11 13 33 39 121 143 363 429 1573 4719 2870249 8610747 31572739 37313237 94718217 111939711 347300129 410445607 1041900387 1231336821 4514901677 13544705031