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113212212311 = 11412715571663
BaseRepresentation
bin110100101101111111…
…0010100010001010111
3101211012221202021021102
41221123332110101113
53323324311243221
6124001534340315
711115334632632
oct1513376242127
9354187667242
10113212212311
1144016384830
1219b3665a69b
13a8a2b53253
14569da6ac19
152e2910930b
hex1a5bf94457

113212212311 has 32 divisors (see below), whose sum is σ = 127287853056. Its totient is φ = 99799776000.

The previous prime is 113212212227. The next prime is 113212212353.

113212212311 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-113212212311 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 (113212212611) 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, 68076266 + ... + 68077928.

It is an arithmetic number, because the mean of its divisors is an integer number (3977745408).

Almost surely, 2113212212311 is an apocalyptic number.

113212212311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

113212212311 is a deficient number, since it is larger than the sum of its proper divisors (14075640745).

113212212311 is a wasteful number, since it uses less digits than its factorization.

113212212311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2543.

The product of its digits is 144, while the sum is 20.

It can be divided in two parts, 113212 and 212311, that added together give a palindrome (325523).

The spelling of 113212212311 in words is "one hundred thirteen billion, two hundred twelve million, two hundred twelve thousand, three hundred eleven".

Divisors: 1 11 41 271 451 557 1663 2981 6127 11111 18293 22837 68183 122221 150947 251207 450673 750013 926291 1660417 4957403 6188827 10189201 18477593 37977931 68077097 203253523 251024861 417757241 2761273471 10292019301 113212212311