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10663312401 = 327169258927
BaseRepresentation
bin10011110111001010…
…10011110000010001
31000112010220101200100
421323211103300101
5133314301444101
64522035443013
7525150442230
oct117345236021
930463811610
1010663312401
114582186485
122097156469
13100c252911
147322aab17
15426234e86
hex27b953c11

10663312401 has 12 divisors (see below), whose sum is σ = 17602928512. Its totient is φ = 6093321336.

The previous prime is 10663312399. The next prime is 10663312409. The reversal of 10663312401 is 10421336601.

10663312401 is a `hidden beast` number, since 1 + 0 + 6 + 633 + 1 + 24 + 0 + 1 = 666.

10663312401 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 10663312401 - 21 = 10663312399 is a prime.

It is a super-2 number, since 2×106633124012 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10663312409) 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 11 ways as a sum of consecutive naturals, for example, 84629401 + ... + 84629526.

Almost surely, 210663312401 is an apocalyptic number.

It is an amenable number.

10663312401 is a deficient number, since it is larger than the sum of its proper divisors (6939616111).

10663312401 is a wasteful number, since it uses less digits than its factorization.

10663312401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169258940 (or 169258937 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 10663312401 in words is "ten billion, six hundred sixty-three million, three hundred twelve thousand, four hundred one".

Divisors: 1 3 7 9 21 63 169258927 507776781 1184812489 1523330343 3554437467 10663312401