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125381076241 is a prime number
BaseRepresentation
bin111010011000101001…
…0110110010100010001
3102222122000121121101111
41310301102312110101
54023240023414431
6133333235333321
712026026364221
oct1646122662421
9388560547344
10125381076241
11491a0392373
1220371a51241
13ba91c8cc55
1460d5c84081
1533dc5d37b1
hex1d314b6511

125381076241 has 2 divisors, whose sum is σ = 125381076242. Its totient is φ = 125381076240.

The previous prime is 125381076239. The next prime is 125381076277. The reversal of 125381076241 is 142670183521.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91730842641 + 33650233600 = 302871^2 + 183440^2 .

It is an emirp because it is prime and its reverse (142670183521) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 125381076241 - 21 = 125381076239 is a prime.

Together with 125381076239, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 125381076194 and 125381076203.

It is not a weakly prime, because it can be changed into another prime (125388076241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 62690538120 + 62690538121.

It is an arithmetic number, because the mean of its divisors is an integer number (62690538121).

Almost surely, 2125381076241 is an apocalyptic number.

It is an amenable number.

125381076241 is a deficient number, since it is larger than the sum of its proper divisors (1).

125381076241 is an equidigital number, since it uses as much as digits as its factorization.

125381076241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 80640, while the sum is 40.

The spelling of 125381076241 in words is "one hundred twenty-five billion, three hundred eighty-one million, seventy-six thousand, two hundred forty-one".