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124361406601 is a prime number
BaseRepresentation
bin111001111010010000…
…1000111100010001001
3102212222221221000121021
41303310201013202021
54014143010002401
6133044132312441
711661535341355
oct1636441074211
9385887830537
10124361406601
1148817854493
1220128472721
13b95b956b33
14603a696465
15337cd192a1
hex1cf4847889

124361406601 has 2 divisors, whose sum is σ = 124361406602. Its totient is φ = 124361406600.

The previous prime is 124361406593. The next prime is 124361406607. The reversal of 124361406601 is 106604163421.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95187058576 + 29174348025 = 308524^2 + 170805^2 .

It is a cyclic number.

It is not a de Polignac number, because 124361406601 - 23 = 124361406593 is a prime.

It is a super-3 number, since 3×1243614066013 (a number of 34 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (124361406607) 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, 62180703300 + 62180703301.

It is an arithmetic number, because the mean of its divisors is an integer number (62180703301).

Almost surely, 2124361406601 is an apocalyptic number.

It is an amenable number.

124361406601 is a deficient number, since it is larger than the sum of its proper divisors (1).

124361406601 is an equidigital number, since it uses as much as digits as its factorization.

124361406601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20736, while the sum is 34.

The spelling of 124361406601 in words is "one hundred twenty-four billion, three hundred sixty-one million, four hundred six thousand, six hundred one".