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10601129313 = 33439131033
BaseRepresentation
bin10011101111110000…
…00110010101100001
31000100210220011112000
421313320012111201
5133202342114223
64511534554213
7523464053355
oct116770062541
930323804460
1010601129313
1145500743a5
12207a368969
13ccc3c00a8
14727d21465
15420a50543
hex277e06561

10601129313 has 16 divisors (see below), whose sum is σ = 16070619840. Its totient is φ = 6903060192.

The previous prime is 10601129233. The next prime is 10601129323. The reversal of 10601129313 is 31392110601.

10601129313 is a `hidden beast` number, since 1 + 0 + 601 + 1 + 29 + 31 + 3 = 666.

10601129313 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 10601129313 - 216 = 10601063777 is a prime.

It is a super-2 number, since 2×106011293132 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10601129323) 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 15 ways as a sum of consecutive naturals, for example, 4564356 + ... + 4566677.

It is an arithmetic number, because the mean of its divisors is an integer number (1004413740).

Almost surely, 210601129313 is an apocalyptic number.

It is an amenable number.

10601129313 is a deficient number, since it is larger than the sum of its proper divisors (5469490527).

10601129313 is an equidigital number, since it uses as much as digits as its factorization.

10601129313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9131085 (or 9131079 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

Adding to 10601129313 its reverse (31392110601), we get a palindrome (41993239914).

The spelling of 10601129313 in words is "ten billion, six hundred one million, one hundred twenty-nine thousand, three hundred thirteen".

Divisors: 1 3 9 27 43 129 387 1161 9131033 27393099 82179297 246537891 392634419 1177903257 3533709771 10601129313