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113303211413 = 7217136018261
BaseRepresentation
bin110100110000101100…
…1011100110110010101
3101211110021222111120112
41221201121130312111
53324021110231123
6124014545012405
711120521256300
oct1514131346625
9354407874515
10113303211413
11440627887a7
1219b61024105
13a8b8964b82
1456abb97b37
152e320d1d78
hex1a6165cd95

113303211413 has 12 divisors (see below), whose sum is σ = 139554736812. Its totient is φ = 91404270720.

The previous prime is 113303211407. The next prime is 113303211419. The reversal of 113303211413 is 314112303311.

It is an interprime number because it is at equal distance from previous prime (113303211407) and next prime (113303211419).

It can be written as a sum of positive squares in 2 ways, for example, as 95550846769 + 17752364644 = 309113^2 + 133238^2 .

It is not a de Polignac number, because 113303211413 - 210 = 113303210389 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113303211419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68008298 + ... + 68009963.

It is an arithmetic number, because the mean of its divisors is an integer number (11629561401).

Almost surely, 2113303211413 is an apocalyptic number.

It is an amenable number.

113303211413 is a deficient number, since it is larger than the sum of its proper divisors (26251525399).

113303211413 is a wasteful number, since it uses less digits than its factorization.

113303211413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136018292 (or 136018285 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 113303211413 its reverse (314112303311), we get a palindrome (427415514724).

The spelling of 113303211413 in words is "one hundred thirteen billion, three hundred three million, two hundred eleven thousand, four hundred thirteen".

Divisors: 1 7 17 49 119 833 136018261 952127827 2312310437 6664894789 16186173059 113303211413