Search a number
-
+
123946961 is a prime number
BaseRepresentation
bin1110110001101…
…00011111010001
322122020011021012
413120310133101
5223212300321
620144340305
73033350255
oct730643721
9278204235
10123946961
1163a68206
1235614695
131c8a95c8
1412666265
15ad3505b
hex76347d1

123946961 has 2 divisors, whose sum is σ = 123946962. Its totient is φ = 123946960.

The previous prime is 123946909. The next prime is 123946969. The reversal of 123946961 is 169649321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101203600 + 22743361 = 10060^2 + 4769^2 .

It is an emirp because it is prime and its reverse (169649321) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 123946961 - 218 = 123684817 is a prime.

It is a super-2 number, since 2×1239469612 = 30725698282271042, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (123946969) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61973480 + 61973481.

It is an arithmetic number, because the mean of its divisors is an integer number (61973481).

Almost surely, 2123946961 is an apocalyptic number.

It is an amenable number.

123946961 is a deficient number, since it is larger than the sum of its proper divisors (1).

123946961 is an equidigital number, since it uses as much as digits as its factorization.

123946961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 69984, while the sum is 41.

The square root of 123946961 is about 11133.1469495377. The cubic root of 123946961 is about 498.5919867191.

The spelling of 123946961 in words is "one hundred twenty-three million, nine hundred forty-six thousand, nine hundred sixty-one".