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310014512146441 is a prime number
BaseRepresentation
bin100011001111101001110000…
…0110111110010100000001001
31111122200002122101100021002201
41012133103200313302200021
5311113234210102141231
63015202411211000201
7122204544420266254
oct10637234067624011
91448602571307081
10310014512146441
118a8644640549a3
122a92aa80a39061
13103ca320cb7b2b
14567aad507609b
1525c92c784c161
hex119f4e0df2809

310014512146441 has 2 divisors, whose sum is σ = 310014512146442. Its totient is φ = 310014512146440.

The previous prime is 310014512146363. The next prime is 310014512146459. The reversal of 310014512146441 is 144641215410013.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 302015598931216 + 7998913215225 = 17378596^2 + 2828235^2 .

It is a cyclic number.

It is not a de Polignac number, because 310014512146441 - 237 = 309877073192969 is a prime.

It is a super-2 number, since 2×3100145121464412 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 310014512146441.

It is not a weakly prime, because it can be changed into another prime (310014512147441) 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, 155007256073220 + 155007256073221.

It is an arithmetic number, because the mean of its divisors is an integer number (155007256073221).

Almost surely, 2310014512146441 is an apocalyptic number.

It is an amenable number.

310014512146441 is a deficient number, since it is larger than the sum of its proper divisors (1).

310014512146441 is an equidigital number, since it uses as much as digits as its factorization.

310014512146441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46080, while the sum is 37.

Adding to 310014512146441 its reverse (144641215410013), we get a palindrome (454655727556454).

The spelling of 310014512146441 in words is "three hundred ten trillion, fourteen billion, five hundred twelve million, one hundred forty-six thousand, four hundred forty-one".