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315142280102801 is a prime number
BaseRepresentation
bin100011110100111101100011…
…1101010001100001110010001
31112022211022022100102001212202
41013221323013222030032101
5312301242342201242201
63034130210450132545
7123244164324620054
oct10751730752141621
91468738270361782
10315142280102801
11914610aa415118
122b418827b81155
13106aca356b3028
1457b6d796a8a9b
152667891e85c6b
hex11e9ec7a8c391

315142280102801 has 2 divisors, whose sum is σ = 315142280102802. Its totient is φ = 315142280102800.

The previous prime is 315142280102773. The next prime is 315142280102803. The reversal of 315142280102801 is 108201082241513.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 204827590616401 + 110314689486400 = 14311799^2 + 10503080^2 .

It is a cyclic number.

It is not a de Polignac number, because 315142280102801 - 26 = 315142280102737 is a prime.

Together with 315142280102803, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (315142280102803) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157571140051400 + 157571140051401.

It is an arithmetic number, because the mean of its divisors is an integer number (157571140051401).

Almost surely, 2315142280102801 is an apocalyptic number.

It is an amenable number.

315142280102801 is a deficient number, since it is larger than the sum of its proper divisors (1).

315142280102801 is an equidigital number, since it uses as much as digits as its factorization.

315142280102801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30720, while the sum is 38.

The spelling of 315142280102801 in words is "three hundred fifteen trillion, one hundred forty-two billion, two hundred eighty million, one hundred two thousand, eight hundred one".