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83052016046131 = 11237312735408137
BaseRepresentation
bin10010111000100100001101…
…111010100001000000110011
3101220001200202210111020002011
4102320210031322201000303
541341211012101434011
6452345323000303351
723331211244352616
oct2270441572410063
9356050683436064
1083052016046131
11245101869951a0
129394054171b57
133745a05006a32
141671a4bc5217d
15990590a04621
hex4b890dea1033

83052016046131 has 32 divisors (see below), whose sum is σ = 96591134343168. Its totient is φ = 70668974154240.

The previous prime is 83052016046123. The next prime is 83052016046137. The reversal of 83052016046131 is 13164061025038.

It is not a de Polignac number, because 83052016046131 - 23 = 83052016046123 is a prime.

It is a super-2 number, since 2×830520160461312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83052016046137) 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, 15358506 + ... + 20049631.

It is an arithmetic number, because the mean of its divisors is an integer number (3018472948224).

Almost surely, 283052016046131 is an apocalyptic number.

83052016046131 is a deficient number, since it is larger than the sum of its proper divisors (13539118297037).

83052016046131 is a wasteful number, since it uses less digits than its factorization.

83052016046131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35408371.

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 83052016046131 in words is "eighty-three trillion, fifty-two billion, sixteen million, forty-six thousand, one hundred thirty-one".

Divisors: 1 11 23 73 127 253 803 1397 1679 2921 9271 18469 32131 101981 213233 2345563 35408137 389489507 814387151 2584794001 4496833399 8958258661 28432734011 49465167389 59450262023 103427168177 328268838127 653952882253 1137698849947 3610957219397 7550183276921 83052016046131