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131035750049 = 17311993124759
BaseRepresentation
bin111101000001001010…
…1101101111010100001
3110112020002212210120202
41322002111231322201
54121330123000144
6140110314514545
712316121332541
oct1720225557241
9415202783522
10131035750049
11506322a0506
122148b735a55
13c48364ac99
1464b0c81321
15361dc5764e
hex1e8256dea1

131035750049 has 16 divisors (see below), whose sum is σ = 143292349440. Its totient is φ = 119288609280.

The previous prime is 131035750039. The next prime is 131035750057. The reversal of 131035750049 is 940057530131.

It is a cyclic number.

It is not a de Polignac number, because 131035750049 - 216 = 131035684513 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131035749994 and 131035750021.

It is not an unprimeable number, because it can be changed into a prime (131035750039) 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 in 15 ways as a sum of consecutive naturals, for example, 987932 + ... + 1112690.

It is an arithmetic number, because the mean of its divisors is an integer number (8955771840).

Almost surely, 2131035750049 is an apocalyptic number.

It is an amenable number.

131035750049 is a deficient number, since it is larger than the sum of its proper divisors (12256599391).

131035750049 is a wasteful number, since it uses less digits than its factorization.

131035750049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126800.

The product of its (nonzero) digits is 56700, while the sum is 38.

The spelling of 131035750049 in words is "one hundred thirty-one billion, thirty-five million, seven hundred fifty thousand, forty-nine".

Divisors: 1 17 31 527 1993 33881 61783 124759 1050311 2120903 3867529 65747993 248644687 4226959679 7707985297 131035750049