Search a number
-
+
123740268101 is a prime number
BaseRepresentation
bin111001100111101111…
…1101010011001000101
3102211101200010220202122
41303033133222121011
54011410002034401
6132502343215325
711640253632062
oct1631737523105
9384350126678
10123740268101
114852917898a
121bb94447545
13b890069868
145dbbda9c69
15334352321b
hex1ccf7ea645

123740268101 has 2 divisors, whose sum is σ = 123740268102. Its totient is φ = 123740268100.

The previous prime is 123740268089. The next prime is 123740268149. The reversal of 123740268101 is 101862047321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75474375076 + 48265893025 = 274726^2 + 219695^2 .

It is an emirp because it is prime and its reverse (101862047321) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-123740268101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123740268401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61870134050 + 61870134051.

It is an arithmetic number, because the mean of its divisors is an integer number (61870134051).

Almost surely, 2123740268101 is an apocalyptic number.

It is an amenable number.

123740268101 is a deficient number, since it is larger than the sum of its proper divisors (1).

123740268101 is an equidigital number, since it uses as much as digits as its factorization.

123740268101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16128, while the sum is 35.

The spelling of 123740268101 in words is "one hundred twenty-three billion, seven hundred forty million, two hundred sixty-eight thousand, one hundred one".