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125135647201 is a prime number
BaseRepresentation
bin111010010001010101…
…0100111000111100001
3102221222220210112001001
41310202222213013201
54022234211202301
6133253031112001
712016656310525
oct1644252470741
9387886715031
10125135647201
11490848a0954
1220303812601
13ba5318ac76
1460b1437d85
1533c5ca3c01
hex1d22aa71e1

125135647201 has 2 divisors, whose sum is σ = 125135647202. Its totient is φ = 125135647200.

The previous prime is 125135647177. The next prime is 125135647253. The reversal of 125135647201 is 102746531521.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 106781900625 + 18353746576 = 326775^2 + 135476^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-125135647201 is a prime.

It is not a weakly prime, because it can be changed into another prime (125135647001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 62567823600 + 62567823601.

It is an arithmetic number, because the mean of its divisors is an integer number (62567823601).

Almost surely, 2125135647201 is an apocalyptic number.

It is an amenable number.

125135647201 is a deficient number, since it is larger than the sum of its proper divisors (1).

125135647201 is an equidigital number, since it uses as much as digits as its factorization.

125135647201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 50400, while the sum is 37.

The spelling of 125135647201 in words is "one hundred twenty-five billion, one hundred thirty-five million, six hundred forty-seven thousand, two hundred one".