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113201222256 = 24322359797333
BaseRepresentation
bin110100101101101010…
…0011001001001110000
3101211012012001220202100
41221123110121021300
53323314003103011
6124000503020400
711115142340643
oct1513324311160
9354165056670
10113201222256
1144010158841
1219b32a3a700
13a8a07a5b65
14569c409a5a
152e28187d56
hex1a5b519270

113201222256 has 240 divisors, whose sum is σ = 340485350400. Its totient is φ = 35027486208.

The previous prime is 113201222213. The next prime is 113201222257. The reversal of 113201222256 is 652222102311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113201222257) 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 47 ways as a sum of consecutive naturals, for example, 15433566 + ... + 15440898.

It is an arithmetic number, because the mean of its divisors is an integer number (1418688960).

Almost surely, 2113201222256 is an apocalyptic number.

113201222256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113201222256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170242675200).

113201222256 is an abundant number, since it is smaller than the sum of its proper divisors (227284128144).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113201222256 is a wasteful number, since it uses less digits than its factorization.

113201222256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7508 (or 7499 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 113201222256 its reverse (652222102311), we get a palindrome (765423324567).

The spelling of 113201222256 in words is "one hundred thirteen billion, two hundred one million, two hundred twenty-two thousand, two hundred fifty-six".