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10012240957 is a prime number
BaseRepresentation
bin10010101001100011…
…01010110000111101
3221211202210112120011
421110301222300331
5131001113202312
64333301023221
7503053433605
oct112461526075
927752715504
1010012240957
114278715904
121b350b4b11
13c373b5044
146ada2bc05
153d8ec9da7
hex254c6ac3d

10012240957 has 2 divisors, whose sum is σ = 10012240958. Its totient is φ = 10012240956.

The previous prime is 10012240951. The next prime is 10012241023. The reversal of 10012240957 is 75904221001.

10012240957 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9670952281 + 341288676 = 98341^2 + 18474^2 .

It is a cyclic number.

It is not a de Polignac number, because 10012240957 - 23 = 10012240949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10012240951) 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, 5006120478 + 5006120479.

It is an arithmetic number, because the mean of its divisors is an integer number (5006120479).

Almost surely, 210012240957 is an apocalyptic number.

It is an amenable number.

10012240957 is a deficient number, since it is larger than the sum of its proper divisors (1).

10012240957 is an equidigital number, since it uses as much as digits as its factorization.

10012240957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5040, while the sum is 31.

Adding to 10012240957 its reverse (75904221001), we get a palindrome (85916461958).

The spelling of 10012240957 in words is "ten billion, twelve million, two hundred forty thousand, nine hundred fifty-seven".