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13090918401 = 3211132231499
BaseRepresentation
bin11000011000100011…
…11001000000000001
31020210022212120001200
430030101321000001
5203302233342101
610002555451413
7642255653601
oct141421710001
936708776050
1013090918401
115608533830
122654156b69
131308185982
148c2874c01
15519410986
hex30c479001

13090918401 has 12 divisors (see below), whose sum is σ = 20628114000. Its totient is φ = 7933889880.

The previous prime is 13090918387. The next prime is 13090918417. The reversal of 13090918401 is 10481909031.

It is not a de Polignac number, because 13090918401 - 25 = 13090918369 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13090958401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66115651 + ... + 66115848.

It is an arithmetic number, because the mean of its divisors is an integer number (1719009500).

Almost surely, 213090918401 is an apocalyptic number.

13090918401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13090918401 is a deficient number, since it is larger than the sum of its proper divisors (7537195599).

13090918401 is a wasteful number, since it uses less digits than its factorization.

13090918401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132231516 (or 132231513 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 13090918401 in words is "thirteen billion, ninety million, nine hundred eighteen thousand, four hundred one".

Divisors: 1 3 9 11 33 99 132231499 396694497 1190083491 1454546489 4363639467 13090918401