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113345105521 is a prime number
BaseRepresentation
bin110100110001111100…
…1010000111001110001
3101211120012210221111011
41221203321100321301
53324112321334041
6124023042550521
711121540333454
oct1514371207161
9354505727434
10113345105521
11440843a242a
1219b73068441
13a8c454289b
1456b358149b
152e35b09e81
hex1a63e50e71

113345105521 has 2 divisors, whose sum is σ = 113345105522. Its totient is φ = 113345105520.

The previous prime is 113345105437. The next prime is 113345105543. The reversal of 113345105521 is 125501543311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 113218790400 + 126315121 = 336480^2 + 11239^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-113345105521 is a prime.

It is a super-2 number, since 2×1133451055212 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (113345105561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56672552760 + 56672552761.

It is an arithmetic number, because the mean of its divisors is an integer number (56672552761).

Almost surely, 2113345105521 is an apocalyptic number.

It is an amenable number.

113345105521 is a deficient number, since it is larger than the sum of its proper divisors (1).

113345105521 is an equidigital number, since it uses as much as digits as its factorization.

113345105521 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9000, while the sum is 31.

Adding to 113345105521 its reverse (125501543311), we get a palindrome (238846648832).

The spelling of 113345105521 in words is "one hundred thirteen billion, three hundred forty-five million, one hundred five thousand, five hundred twenty-one".