Search a number
-
+
54123266232131 is a prime number
BaseRepresentation
bin11000100111001100011100…
…00011101100111101000011
321002122010121111000100201212
430103212032003230331003
524043223422123412011
6311035515114320335
714254163664211265
oct1423461603547503
9232563544010655
1054123266232131
1116277603885378
1260a15504290ab
132427a572c40b5
14d51819999b35
1563cd0c70308b
hex31398e0ecf43

54123266232131 has 2 divisors, whose sum is σ = 54123266232132. Its totient is φ = 54123266232130.

The previous prime is 54123266232089. The next prime is 54123266232149. The reversal of 54123266232131 is 13123266232145.

54123266232131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-54123266232131 is a prime.

It is a super-2 number, since 2×541232662321312 (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (54123266232031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 27061633116065 + 27061633116066.

It is an arithmetic number, because the mean of its divisors is an integer number (27061633116066).

Almost surely, 254123266232131 is an apocalyptic number.

54123266232131 is a deficient number, since it is larger than the sum of its proper divisors (1).

54123266232131 is an equidigital number, since it uses as much as digits as its factorization.

54123266232131 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 311040, while the sum is 41.

The spelling of 54123266232131 in words is "fifty-four trillion, one hundred twenty-three billion, two hundred sixty-six million, two hundred thirty-two thousand, one hundred thirty-one".