Search a number
-
+
122345120234413 is a prime number
BaseRepresentation
bin11011110100010110110001…
…011011100111101110101101
3121001012002010210020022022201
4123310112301123213232231
5112014000301240000123
61112112323342141501
734525100063241526
oct3364266133475655
9531162123208281
10122345120234413
1135a8a30192921a
121187b379281891
1353361315aa5ab
14222d76d26b84d
15e227260805ad
hex6f45b16e7bad

122345120234413 has 2 divisors, whose sum is σ = 122345120234414. Its totient is φ = 122345120234412.

The previous prime is 122345120234411. The next prime is 122345120234473. The reversal of 122345120234413 is 314432021543221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 77927987148489 + 44417133085924 = 8827683^2 + 6664618^2 .

It is a cyclic number.

It is not a de Polignac number, because 122345120234413 - 21 = 122345120234411 is a prime.

Together with 122345120234411, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122345120234411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61172560117206 + 61172560117207.

It is an arithmetic number, because the mean of its divisors is an integer number (61172560117207).

Almost surely, 2122345120234413 is an apocalyptic number.

It is an amenable number.

122345120234413 is a deficient number, since it is larger than the sum of its proper divisors (1).

122345120234413 is an equidigital number, since it uses as much as digits as its factorization.

122345120234413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 138240, while the sum is 37.

Adding to 122345120234413 its reverse (314432021543221), we get a palindrome (436777141777634).

The spelling of 122345120234413 in words is "one hundred twenty-two trillion, three hundred forty-five billion, one hundred twenty million, two hundred thirty-four thousand, four hundred thirteen".