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631106384135041 = 6196835849255217
BaseRepresentation
bin1000111101111111001110011…
…1110101111000001110000001
310001202120011220000112100211001
42033133303213311320032001
51130210021333314310131
610114130134223252001
7246634634346636463
oct21737634765701601
93052504800470731
10631106384135041
111730a9794a31151
125a94878b14a001
132111c0cc568229
14b1bb9d7926133
154ce67d315d261
hex23dfce7d78381

631106384135041 has 16 divisors (see below), whose sum is σ = 633162169224000. Its totient is φ = 629054265235968.

The previous prime is 631106384134997. The next prime is 631106384135047. The reversal of 631106384135041 is 140531483601136.

It is a cyclic number.

It is not a de Polignac number, because 631106384135041 - 227 = 631106249917313 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 631106384134982 and 631106384135000.

It is not an unprimeable number, because it can be changed into a prime (631106384135047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2472695065 + ... + 2472950281.

It is an arithmetic number, because the mean of its divisors is an integer number (39572635576500).

Almost surely, 2631106384135041 is an apocalyptic number.

It is an amenable number.

631106384135041 is a deficient number, since it is larger than the sum of its proper divisors (2055785088959).

631106384135041 is a wasteful number, since it uses less digits than its factorization.

631106384135041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262368.

The product of its (nonzero) digits is 622080, while the sum is 46.

The spelling of 631106384135041 in words is "six hundred thirty-one trillion, one hundred six billion, three hundred eighty-four million, one hundred thirty-five thousand, forty-one".

Divisors: 1 619 683 5849 255217 422777 3620531 3994867 157979323 174313211 1492764233 2472822673 107899877609 924021060227 1019557971139 631106384135041