Search a number
-
+
357213047223313 is a prime number
BaseRepresentation
bin101000100111000100010010…
…0110010011111010000010001
31201211210020022110000010112201
41101032020210302133100101
5333310034310042121223
63303421224120323201
7135145535212044361
oct12116104462372021
91654706273003481
10357213047223313
11a39012256a6036
1234092346913501
1312442079869858
14642d2bd0969a1
152b46de77c0ead
hex144e224c9f411

357213047223313 has 2 divisors, whose sum is σ = 357213047223314. Its totient is φ = 357213047223312.

The previous prime is 357213047223283. The next prime is 357213047223341. The reversal of 357213047223313 is 313322740312753.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 352000373758929 + 5212673464384 = 18761673^2 + 2283128^2 .

It is a cyclic number.

It is not a de Polignac number, because 357213047223313 - 213 = 357213047215121 is a prime.

It is a super-2 number, since 2×3572130472233132 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (357213047223343) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 178606523611656 + 178606523611657.

It is an arithmetic number, because the mean of its divisors is an integer number (178606523611657).

Almost surely, 2357213047223313 is an apocalyptic number.

It is an amenable number.

357213047223313 is a deficient number, since it is larger than the sum of its proper divisors (1).

357213047223313 is an equidigital number, since it uses as much as digits as its factorization.

357213047223313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1905120, while the sum is 46.

The spelling of 357213047223313 in words is "three hundred fifty-seven trillion, two hundred thirteen billion, forty-seven million, two hundred twenty-three thousand, three hundred thirteen".