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131022441313241 = 4751891779130197
BaseRepresentation
bin11101110010101000001010…
…000100100111001111011001
3122011220121211012201112200112
4131302220022010213033121
5114133132424434010431
61142354513435414105
736412026144365642
oct3562501204471731
9564817735645615
10131022441313241
113882533a411995
121284103a5b4335
135815494c4a7aa
14244d73cc226c9
1510232db062c2b
hex772a0a1273d9

131022441313241 has 16 divisors (see below), whose sum is σ = 133847895121920. Its totient is φ = 128198564992320.

The previous prime is 131022441313223. The next prime is 131022441313261. The reversal of 131022441313241 is 142313144220131.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131022441313241 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131022441313198 and 131022441313207.

It is not an unprimeable number, because it can be changed into a prime (131022441313261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4338907355 + ... + 4338937551.

It is an arithmetic number, because the mean of its divisors is an integer number (8365493445120).

Almost surely, 2131022441313241 is an apocalyptic number.

It is an amenable number.

131022441313241 is a deficient number, since it is larger than the sum of its proper divisors (2825453808679).

131022441313241 is a wasteful number, since it uses less digits than its factorization.

131022441313241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53224.

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 131022441313241 its reverse (142313144220131), we get a palindrome (273335585533372).

The spelling of 131022441313241 in words is "one hundred thirty-one trillion, twenty-two billion, four hundred forty-one million, three hundred thirteen thousand, two hundred forty-one".

Divisors: 1 47 5189 17791 30197 243883 836177 1419259 92317499 156692233 537234827 4338922453 7364534951 25250036869 2787711517303 131022441313241