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113210112001 = 7217521260857
BaseRepresentation
bin110100101101111011…
…0010011100000000001
3101211012210210120012011
41221123312103200001
53323323242041001
6124001421332521
711115311034400
oct1513366234001
9354183716164
10113210112001
114401517a838
1219b35a07141
13a8a259926c
14569d681637
152e28d41d51
hex1a5bd93801

113210112001 has 24 divisors (see below), whose sum is σ = 139708240776. Its totient is φ = 91153520640.

The previous prime is 113210111983. The next prime is 113210112023. The reversal of 113210112001 is 100211012311.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 14724609025 + 98485502976 = 121345^2 + 313824^2 .

It is not a de Polignac number, because 113210112001 - 211 = 113210109953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (113210112401) 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, 303565 + ... + 564421.

It is an arithmetic number, because the mean of its divisors is an integer number (5821176699).

Almost surely, 2113210112001 is an apocalyptic number.

It is an amenable number.

113210112001 is a deficient number, since it is larger than the sum of its proper divisors (26498128775).

113210112001 is a wasteful number, since it uses less digits than its factorization.

113210112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261409 (or 261402 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 113210112001 its reverse (100211012311), we get a palindrome (213421124312).

The spelling of 113210112001 in words is "one hundred thirteen billion, two hundred ten million, one hundred twelve thousand, one".

Divisors: 1 7 17 49 119 521 833 3647 8857 25529 61999 260857 433993 1825999 4434569 12781993 31041983 135906497 217293881 951345479 2310410449 6659418353 16172873143 113210112001