Search a number
-
+
230122213112101 is a prime number
BaseRepresentation
bin110100010100101110000000…
…110001000111100100100101
31010011210110122200212011121211
4310110232000301013210211
5220130310243024041401
62133232404003511421
766320531652226222
oct6424560061074445
91104713580764554
10230122213112101
1167362312034392
1221987287688571
139b5357c25807b
1440b7d90208949
151b9101827a951
hexd14b80c47925

230122213112101 has 2 divisors, whose sum is σ = 230122213112102. Its totient is φ = 230122213112100.

The previous prime is 230122213112027. The next prime is 230122213112153. The reversal of 230122213112101 is 101211312221032.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 229965851390625 + 156361721476 = 15164625^2 + 395426^2 .

It is a cyclic number.

It is not a de Polignac number, because 230122213112101 - 227 = 230122078894373 is a prime.

It is a super-2 number, since 2×2301222131121012 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (230122213113101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 115061106556050 + 115061106556051.

It is an arithmetic number, because the mean of its divisors is an integer number (115061106556051).

Almost surely, 2230122213112101 is an apocalyptic number.

It is an amenable number.

230122213112101 is a deficient number, since it is larger than the sum of its proper divisors (1).

230122213112101 is an equidigital number, since it uses as much as digits as its factorization.

230122213112101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 230122213112101 its reverse (101211312221032), we get a palindrome (331333525333133).

The spelling of 230122213112101 in words is "two hundred thirty trillion, one hundred twenty-two billion, two hundred thirteen million, one hundred twelve thousand, one hundred one".