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113113012121 is a prime number
BaseRepresentation
bin110100101011000001…
…1111001011110011001
3101210222001002101012022
41221112003321132121
53323123412341441
6123544032224225
711113021511354
oct1512603713631
9353861071168
10113113012121
1143a7538a1aa
1219b0939b075
13a88842c805
14569080729b
152e2056184b
hex1a560f9799

113113012121 has 2 divisors, whose sum is σ = 113113012122. Its totient is φ = 113113012120.

The previous prime is 113113012109. The next prime is 113113012147. The reversal of 113113012121 is 121210311311.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 112677705625 + 435306496 = 335675^2 + 20864^2 .

It is a cyclic number.

It is not a de Polignac number, because 113113012121 - 210 = 113113011097 is a prime.

It is a super-2 number, since 2×1131130121212 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 113113012121.

It is not a weakly prime, because it can be changed into another prime (113113042121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56556506060 + 56556506061.

It is an arithmetic number, because the mean of its divisors is an integer number (56556506061).

Almost surely, 2113113012121 is an apocalyptic number.

It is an amenable number.

113113012121 is a deficient number, since it is larger than the sum of its proper divisors (1).

113113012121 is an equidigital number, since it uses as much as digits as its factorization.

113113012121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 113113012121 its reverse (121210311311), we get a palindrome (234323323432).

The spelling of 113113012121 in words is "one hundred thirteen billion, one hundred thirteen million, twelve thousand, one hundred twenty-one".