Search a number
-
+
23442136313 is a prime number
BaseRepresentation
bin10101110101010000…
…101001110011111001
32020111201111220120212
4111311100221303321
5341002141330223
614434050200505
71456626604511
oct256520516371
966451456525
1023442136313
119a3a524a82
124662883135
13229786479b
1411c5500841
15923048278
hex575429cf9

23442136313 has 2 divisors, whose sum is σ = 23442136314. Its totient is φ = 23442136312.

The previous prime is 23442136307. The next prime is 23442136363. The reversal of 23442136313 is 31363124432.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 15382944784 + 8059191529 = 124028^2 + 89773^2 .

It is a cyclic number.

It is not a de Polignac number, because 23442136313 - 220 = 23441087737 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 23442136313.

It is not a weakly prime, because it can be changed into another prime (23442136303) 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, 11721068156 + 11721068157.

It is an arithmetic number, because the mean of its divisors is an integer number (11721068157).

Almost surely, 223442136313 is an apocalyptic number.

It is an amenable number.

23442136313 is a deficient number, since it is larger than the sum of its proper divisors (1).

23442136313 is an equidigital number, since it uses as much as digits as its factorization.

23442136313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 31104, while the sum is 32.

The spelling of 23442136313 in words is "twenty-three billion, four hundred forty-two million, one hundred thirty-six thousand, three hundred thirteen".