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10057400501 is a prime number
BaseRepresentation
bin10010101110111011…
…11100000010110101
3221221220202212210212
421113131330002311
5131044143304001
64341552555205
7504142331231
oct112735740265
927856685725
1010057400501
1142a115a945
121b48252b05
13c43867175
146b5a255c1
153dce4a7bb
hex25777c0b5

10057400501 has 2 divisors, whose sum is σ = 10057400502. Its totient is φ = 10057400500.

The previous prime is 10057400467. The next prime is 10057400503. The reversal of 10057400501 is 10500475001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5906691025 + 4150709476 = 76855^2 + 64426^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10057400501 is a prime.

Together with 10057400503, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10057400503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5028700250 + 5028700251.

It is an arithmetic number, because the mean of its divisors is an integer number (5028700251).

Almost surely, 210057400501 is an apocalyptic number.

It is an amenable number.

10057400501 is a deficient number, since it is larger than the sum of its proper divisors (1).

10057400501 is an equidigital number, since it uses as much as digits as its factorization.

10057400501 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 700, while the sum is 23.

Adding to 10057400501 its reverse (10500475001), we get a palindrome (20557875502).

The spelling of 10057400501 in words is "ten billion, fifty-seven million, four hundred thousand, five hundred one".