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251145104401 is a prime number
BaseRepresentation
bin1110100111100101101…
…0100010110000010001
3220000020201211012001101
43221321122202300101
513103321121320101
6311212515104401
724100416110362
oct3517132426021
9800221735041
10251145104401
1197567956124
124080bba2101
131a8b53a2869
14c226931b69
1567ed60e401
hex3a796a2c11

251145104401 has 2 divisors, whose sum is σ = 251145104402. Its totient is φ = 251145104400.

The previous prime is 251145104393. The next prime is 251145104423. The reversal of 251145104401 is 104401541152.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 165075627025 + 86069477376 = 406295^2 + 293376^2 .

It is a cyclic number.

It is not a de Polignac number, because 251145104401 - 23 = 251145104393 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 251145104401.

It is not a weakly prime, because it can be changed into another prime (251145104501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 125572552200 + 125572552201.

It is an arithmetic number, because the mean of its divisors is an integer number (125572552201).

Almost surely, 2251145104401 is an apocalyptic number.

It is an amenable number.

251145104401 is a deficient number, since it is larger than the sum of its proper divisors (1).

251145104401 is an equidigital number, since it uses as much as digits as its factorization.

251145104401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3200, while the sum is 28.

Adding to 251145104401 its reverse (104401541152), we get a palindrome (355546645553).

The spelling of 251145104401 in words is "two hundred fifty-one billion, one hundred forty-five million, one hundred four thousand, four hundred one".