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113343343311 = 311313715719073
BaseRepresentation
bin110100110001111001…
…0100010101011001111
3101211120002111102012010
41221203302202223033
53324111343441221
6124022541112303
711121516344022
oct1514362425317
9354502442163
10113343343311
11440833a9460
1219b72558693
13a8c4076763
1456b32431b9
152e358acc76
hex1a63ca2acf

113343343311 has 64 divisors (see below), whose sum is σ = 175903174656. Its totient is φ = 64265011200.

The previous prime is 113343343277. The next prime is 113343343331.

113343343311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 113343343311 - 214 = 113343326927 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113343343331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5933071 + ... + 5952143.

It is an arithmetic number, because the mean of its divisors is an integer number (2748487104).

Almost surely, 2113343343311 is an apocalyptic number.

113343343311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

113343343311 is a deficient number, since it is larger than the sum of its proper divisors (62559831345).

113343343311 is a wasteful number, since it uses less digits than its factorization.

113343343311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19312.

The product of its digits is 11664, while the sum is 30.

It can be divided in two parts, 113343 and 343311, that added together give a palindrome (456654).

The spelling of 113343343311 in words is "one hundred thirteen billion, three hundred forty-three million, three hundred forty-three thousand, three hundred eleven".

Divisors: 1 3 11 31 33 37 93 111 157 341 407 471 1023 1147 1221 1727 3441 4867 5181 5809 12617 14601 17427 19073 37851 53537 57219 63899 160611 180079 191697 209803 540237 591263 629409 705701 1773789 1980869 2117103 2994461 5942607 6503893 7762711 8983383 19511679 21876731 23288133 32939071 65630193 92828291 98817213 110795057 240644041 278484873 332385171 721932123 1021111201 1218745627 3063333603 3434646767 3656236881 10303940301 37781114437 113343343311