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315112101331141 is a prime number
BaseRepresentation
bin100011110100101111100000…
…0110111010100000011000101
31112022201102102010201121220001
41013221133000313110003011
5312300244040420044031
63034104300110241301
7123242045424400042
oct10751370067240305
91468642363647801
10315112101331141
119144a323278314
122b412a051b6231
13106a9c362871aa
1457b57156061c9
152666bc77e7861
hex11e97c0dd40c5

315112101331141 has 2 divisors, whose sum is σ = 315112101331142. Its totient is φ = 315112101331140.

The previous prime is 315112101331123. The next prime is 315112101331187. The reversal of 315112101331141 is 141133101211513.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 301454531102916 + 13657570228225 = 17362446^2 + 3695615^2 .

It is a cyclic number.

It is not a de Polignac number, because 315112101331141 - 217 = 315112101200069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (315112101331121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157556050665570 + 157556050665571.

It is an arithmetic number, because the mean of its divisors is an integer number (157556050665571).

Almost surely, 2315112101331141 is an apocalyptic number.

It is an amenable number.

315112101331141 is a deficient number, since it is larger than the sum of its proper divisors (1).

315112101331141 is an equidigital number, since it uses as much as digits as its factorization.

315112101331141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080, while the sum is 28.

Adding to 315112101331141 its reverse (141133101211513), we get a palindrome (456245202542654).

The spelling of 315112101331141 in words is "three hundred fifteen trillion, one hundred twelve billion, one hundred one million, three hundred thirty-one thousand, one hundred forty-one".