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113442244311 = 31137181513311
BaseRepresentation
bin110100110100110101…
…1110100011011010111
3101211210222121002212010
41221221223310123113
53324312203304221
6124040432555303
711124130111104
oct1515153643327
9354728532763
10113442244311
114412420a220
1219b9b6b2b33
13a90b6c3c66
1456c2429aab
152e3e3e6c76
hex1a69af46d7

113442244311 has 32 divisors (see below), whose sum is σ = 170403158016. Its totient is φ = 66524976000.

The previous prime is 113442244301. The next prime is 113442244367.

It is a happy number.

113442244311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 113442244311 - 29 = 113442243799 is a prime.

It is a super-2 number, since 2×1134422443112 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113442244301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35655 + ... + 477656.

It is an arithmetic number, because the mean of its divisors is an integer number (5325098688).

Almost surely, 2113442244311 is an apocalyptic number.

113442244311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

113442244311 is a deficient number, since it is larger than the sum of its proper divisors (56960913705).

113442244311 is a wasteful number, since it uses less digits than its factorization.

113442244311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513543.

The product of its digits is 9216, while the sum is 30.

It can be divided in two parts, 113442 and 244311, that added together give a palindrome (357753).

The spelling of 113442244311 in words is "one hundred thirteen billion, four hundred forty-two million, two hundred forty-four thousand, three hundred eleven".

Divisors: 1 3 11 33 37 111 181 407 543 1221 1991 5973 6697 20091 73667 221001 513311 1539933 5646421 16939263 18992507 56977521 92909291 208917577 278727873 626752731 1022002201 3066006603 3437643767 10312931301 37814081437 113442244311