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310013010221 is a prime number
BaseRepresentation
bin1001000001011100011…
…01110010000100101101
31002122012100011122112112
410200232031302010231
520034401312311341
6354230142413405
731253261052065
oct4405615620455
91078170148475
10310013010221
1110a526298062
12500ba891265
1323307422b25
141100ccd03a5
1580e678baeb
hex482e37212d

310013010221 has 2 divisors, whose sum is σ = 310013010222. Its totient is φ = 310013010220.

The previous prime is 310013010217. The next prime is 310013010257. The reversal of 310013010221 is 122010310013.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 290937256996 + 19075753225 = 539386^2 + 138115^2 .

It is a cyclic number.

It is not a de Polignac number, because 310013010221 - 22 = 310013010217 is a prime.

It is a super-2 number, since 2×3100130102212 (a number of 24 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 310013010196 and 310013010205.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (310013010521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155006505110 + 155006505111.

It is an arithmetic number, because the mean of its divisors is an integer number (155006505111).

Almost surely, 2310013010221 is an apocalyptic number.

It is an amenable number.

310013010221 is a deficient number, since it is larger than the sum of its proper divisors (1).

310013010221 is an equidigital number, since it uses as much as digits as its factorization.

310013010221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 310013010221 its reverse (122010310013), we get a palindrome (432023320234).

The spelling of 310013010221 in words is "three hundred ten billion, thirteen million, ten thousand, two hundred twenty-one".