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315166020401 is a prime number
BaseRepresentation
bin1001001011000010101…
…10111101001100110001
31010010111110110200121102
410211201112331030301
520130430000123101
6400441341334145
731525051654301
oct4454126751461
91103443420542
10315166020401
11111730002961
12510b8567355
1323948b9578b
141137b421601
1582e8d6986b
hex49615bd331

315166020401 has 2 divisors, whose sum is σ = 315166020402. Its totient is φ = 315166020400.

The previous prime is 315166020361. The next prime is 315166020413. The reversal of 315166020401 is 104020661513.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 240100980001 + 75065040400 = 490001^2 + 273980^2 .

It is an emirp because it is prime and its reverse (104020661513) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 315166020401 - 214 = 315166004017 is a prime.

It is not a weakly prime, because it can be changed into another prime (315166022401) 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, 157583010200 + 157583010201.

It is an arithmetic number, because the mean of its divisors is an integer number (157583010201).

Almost surely, 2315166020401 is an apocalyptic number.

It is an amenable number.

315166020401 is a deficient number, since it is larger than the sum of its proper divisors (1).

315166020401 is an equidigital number, since it uses as much as digits as its factorization.

315166020401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4320, while the sum is 29.

Adding to 315166020401 its reverse (104020661513), we get a palindrome (419186681914).

The spelling of 315166020401 in words is "three hundred fifteen billion, one hundred sixty-six million, twenty thousand, four hundred one".