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113212112013 = 327111312566557
BaseRepresentation
bin110100101101111110…
…1111011110010001101
3101211012221120011200200
41221123331323302031
53323324300041023
6124001532244113
711115334034340
oct1513375736215
9354187504620
10113212112013
1144016316440
1219b36610639
13a8a2b196c0
14569da42457
152e290d9743
hex1a5bf7bc8d

113212112013 has 48 divisors (see below), whose sum is σ = 219562901376. Its totient is φ = 54287521920.

The previous prime is 113212111993. The next prime is 113212112029. The reversal of 113212112013 is 310211212311.

It is not a de Polignac number, because 113212112013 - 29 = 113212111501 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113212112513) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6274270 + ... + 6292287.

It is an arithmetic number, because the mean of its divisors is an integer number (4574227112).

Almost surely, 2113212112013 is an apocalyptic number.

113212112013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

113212112013 is a deficient number, since it is larger than the sum of its proper divisors (106350789363).

113212112013 is a wasteful number, since it uses less digits than its factorization.

113212112013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12566594 (or 12566591 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 113212112013 its reverse (310211212311), we get a palindrome (423423324324).

The spelling of 113212112013 in words is "one hundred thirteen billion, two hundred twelve million, one hundred twelve thousand, thirteen".

Divisors: 1 3 7 9 11 13 21 33 39 63 77 91 99 117 143 231 273 429 693 819 1001 1287 3003 9009 12566557 37699671 87965899 113099013 138232127 163365241 263897697 414696381 490095723 791693091 967624889 1143556687 1244089143 1470287169 1797017651 2902874667 3430670061 5391052953 8708624001 10292010183 12579123557 16173158859 37737370671 113212112013