Search a number
-
+
123013330381 is a prime number
BaseRepresentation
bin111001010010000101…
…0100111010111001101
3102202112000021122200101
41302210022213113031
54003412403033011
6132302254331101
711613246025114
oct1624412472715
9382460248611
10123013330381
11481958aa907
121ba10ab9a91
13b7a55882b6
145d4d61cc7b
1532ee7ce2c1
hex1ca42a75cd

123013330381 has 2 divisors, whose sum is σ = 123013330382. Its totient is φ = 123013330380.

The previous prime is 123013330291. The next prime is 123013330393. The reversal of 123013330381 is 183033310321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 120472162281 + 2541168100 = 347091^2 + 50410^2 .

It is a cyclic number.

It is not a de Polignac number, because 123013330381 - 219 = 123012806093 is a prime.

It is a super-2 number, since 2×1230133303812 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123013930381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61506665190 + 61506665191.

It is an arithmetic number, because the mean of its divisors is an integer number (61506665191).

Almost surely, 2123013330381 is an apocalyptic number.

It is an amenable number.

123013330381 is a deficient number, since it is larger than the sum of its proper divisors (1).

123013330381 is an equidigital number, since it uses as much as digits as its factorization.

123013330381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 28.

The spelling of 123013330381 in words is "one hundred twenty-three billion, thirteen million, three hundred thirty thousand, three hundred eighty-one".