Search a number
-
+
315006052350113 is a prime number
BaseRepresentation
bin100011110011111110000111…
…1110110100011100010100001
31112022100021200101212012121222
41013213330033312203202201
5312242024343400200423
63033543441020424425
7123231302430051245
oct10747741766434241
91468307611765558
10315006052350113
11914093533a7243
122b3b63496a8115
131069cc354bc347
1457b0535066425
15266406c4ec3c8
hex11e7f0fda38a1

315006052350113 has 2 divisors, whose sum is σ = 315006052350114. Its totient is φ = 315006052350112.

The previous prime is 315006052350029. The next prime is 315006052350131. The reversal of 315006052350113 is 311053250600513.

Together with next prime (315006052350131) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 211694846769169 + 103311205580944 = 14549737^2 + 10164212^2 .

It is a cyclic number.

It is not a de Polignac number, because 315006052350113 - 212 = 315006052346017 is a prime.

It is a super-2 number, since 2×3150060523501132 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (315006052350193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157503026175056 + 157503026175057.

It is an arithmetic number, because the mean of its divisors is an integer number (157503026175057).

Almost surely, 2315006052350113 is an apocalyptic number.

It is an amenable number.

315006052350113 is a deficient number, since it is larger than the sum of its proper divisors (1).

315006052350113 is an equidigital number, since it uses as much as digits as its factorization.

315006052350113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40500, while the sum is 35.

The spelling of 315006052350113 in words is "three hundred fifteen trillion, six billion, fifty-two million, three hundred fifty thousand, one hundred thirteen".