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125021082961 = 829172187629
BaseRepresentation
bin111010001101111010…
…1100101010101010001
3102221200221020001110001
41310123311211111101
54022020344123321
6133233415410001
712014065446145
oct1643365452521
9387627201401
10125021082961
1149026162065
1220291383901
13ba35518288
1460a0135225
1533babc3c91
hex1d1bd65551

125021082961 has 8 divisors (see below), whose sum is σ = 125246053800. Its totient is φ = 124796292480.

The previous prime is 125021082917. The next prime is 125021083037. The reversal of 125021082961 is 169280120521.

It can be written as a sum of positive squares in 4 ways, for example, as 7701817600 + 117319265361 = 87760^2 + 342519^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 125021082961 - 211 = 125021080913 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 125021082961.

It is not an unprimeable number, because it can be changed into a prime (125021086961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1382895 + ... + 1470523.

It is an arithmetic number, because the mean of its divisors is an integer number (15655756725).

Almost surely, 2125021082961 is an apocalyptic number.

It is an amenable number.

125021082961 is a deficient number, since it is larger than the sum of its proper divisors (224970839).

125021082961 is an equidigital number, since it uses as much as digits as its factorization.

125021082961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90179.

The product of its (nonzero) digits is 17280, while the sum is 37.

The spelling of 125021082961 in words is "one hundred twenty-five billion, twenty-one million, eighty-two thousand, nine hundred sixty-one".

Divisors: 1 829 1721 87629 1426709 72644441 150809509 125021082961