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312195297553 is a prime number
BaseRepresentation
bin1001000101100000100…
…10100011000100010001
31002211211102112022222021
410202300102203010101
520103333444010203
6355230500411441
731361330146606
oct4426022430421
91084742468867
10312195297553
11110446119907
12506096a6b81
13235945921c9
1411178a7a6ad
1581c315a5bd
hex48b04a3111

312195297553 has 2 divisors, whose sum is σ = 312195297554. Its totient is φ = 312195297552.

The previous prime is 312195297509. The next prime is 312195297611. The reversal of 312195297553 is 355792591213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 312193740049 + 1557504 = 558743^2 + 1248^2 .

It is an emirp because it is prime and its reverse (355792591213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312195297553 - 221 = 312193200401 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 312195297553.

It is not a weakly prime, because it can be changed into another prime (312195297053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156097648776 + 156097648777.

It is an arithmetic number, because the mean of its divisors is an integer number (156097648777).

Almost surely, 2312195297553 is an apocalyptic number.

It is an amenable number.

312195297553 is a deficient number, since it is larger than the sum of its proper divisors (1).

312195297553 is an equidigital number, since it uses as much as digits as its factorization.

312195297553 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2551500, while the sum is 52.

The spelling of 312195297553 in words is "three hundred twelve billion, one hundred ninety-five million, two hundred ninety-seven thousand, five hundred fifty-three".