Search a number
-
+
310133000321 is a prime number
BaseRepresentation
bin1001000001101010101…
…11100000100010000001
31002122111200221210000022
410200311113200202001
520040123022002241
6354250110303225
731256246002334
oct4406527404201
91078450853008
10310133000321
1110a587aa2431
1250132ab7b15
13233262453a1
1411020c0661b
15810208e54b
hex48355e0881

310133000321 has 2 divisors, whose sum is σ = 310133000322. Its totient is φ = 310133000320.

The previous prime is 310133000311. The next prime is 310133000341. The reversal of 310133000321 is 123000331013.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 170024275600 + 140108724721 = 412340^2 + 374311^2 .

It is a cyclic number.

It is not a de Polignac number, because 310133000321 - 26 = 310133000257 is a prime.

It is a super-2 number, since 2×3101330003212 (a number of 24 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 310133000321.

It is not a weakly prime, because it can be changed into another prime (310133000311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155066500160 + 155066500161.

It is an arithmetic number, because the mean of its divisors is an integer number (155066500161).

Almost surely, 2310133000321 is an apocalyptic number.

It is an amenable number.

310133000321 is a deficient number, since it is larger than the sum of its proper divisors (1).

310133000321 is an equidigital number, since it uses as much as digits as its factorization.

310133000321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 310133000321 its reverse (123000331013), we get a palindrome (433133331334).

The spelling of 310133000321 in words is "three hundred ten billion, one hundred thirty-three million, three hundred twenty-one", and thus it is an aban number.