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113301212213 = 7217253150961
BaseRepresentation
bin110100110000101000…
…1110100110000110101
3101211110011012221012002
41221201101310300311
53324020102242323
6124014434105045
711120465261600
oct1514121646065
9354404187162
10113301212213
1144061642772
1219b6041b185
13a8b8414c07
1456ab7d7337
152e31d39828
hex1a61474c35

113301212213 has 36 divisors (see below), whose sum is σ = 142650938052. Its totient is φ = 89677486080.

The previous prime is 113301212197. The next prime is 113301212221. The reversal of 113301212213 is 312212103311.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 35335728484 + 77965483729 = 187978^2 + 279223^2 .

It is not a de Polignac number, because 113301212213 - 24 = 113301212197 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113301212113) 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 35 ways as a sum of consecutive naturals, for example, 675053 + ... + 826013.

It is an arithmetic number, because the mean of its divisors is an integer number (3962526057).

Almost surely, 2113301212213 is an apocalyptic number.

It is an amenable number.

113301212213 is a deficient number, since it is larger than the sum of its proper divisors (29349725839).

113301212213 is a wasteful number, since it uses less digits than its factorization.

113301212213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151062 (or 151038 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 113301212213 its reverse (312212103311), we get a palindrome (425513315524).

The spelling of 113301212213 in words is "one hundred thirteen billion, three hundred one million, two hundred twelve thousand, two hundred thirteen".

Divisors: 1 7 17 49 53 119 289 371 833 901 2023 2597 6307 14161 15317 44149 107219 150961 750533 1056727 2566337 7397089 8000933 17964359 43627729 56006531 125750513 136015861 305394103 392045717 952111027 2137758721 2312269637 6664777189 16185887459 113301212213