Search a number
-
+
13145553801 = 335310785853
BaseRepresentation
bin11000011111000100…
…10011101110001001
31020221010200022202000
430033202103232021
5203410230210201
610012230501213
7643521235512
oct141742235611
936833608660
1013145553801
115636360156
12266a504809
1313165a4c03
148c9c17a09
1551e103d86
hex30f893b89

13145553801 has 32 divisors (see below), whose sum is σ = 20028021120. Its totient is φ = 8517892032.

The previous prime is 13145553793. The next prime is 13145553803. The reversal of 13145553801 is 10835554131.

It is a happy number.

13145553801 is a `hidden beast` number, since 13 + 14 + 5 + 553 + 80 + 1 = 666.

13145553801 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 13145553801 - 23 = 13145553793 is a prime.

It is a super-3 number, since 3×131455538013 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (13145553803) 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 31 ways as a sum of consecutive naturals, for example, 110191 + ... + 196043.

It is an arithmetic number, because the mean of its divisors is an integer number (625875660).

Almost surely, 213145553801 is an apocalyptic number.

It is an amenable number.

13145553801 is a deficient number, since it is larger than the sum of its proper divisors (6882467319).

13145553801 is a wasteful number, since it uses less digits than its factorization.

13145553801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86022 (or 86016 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 13145553801 in words is "thirteen billion, one hundred forty-five million, five hundred fifty-three thousand, eight hundred one".

Divisors: 1 3 9 27 53 107 159 321 477 963 1431 2889 5671 17013 51039 85853 153117 257559 772677 2318031 4550209 9186271 13650627 27558813 40951881 82676439 122855643 248029317 486872363 1460617089 4381851267 13145553801