Search a number
-
+
123044141137 is a prime number
BaseRepresentation
bin111001010011000000…
…0001001100001010001
3102202121011021000002111
41302212000021201101
54003443300004022
6132305314545321
711614101641311
oct1624600114121
9382534230074
10123044141137
1148201234445
121ba1b298241
13b7aba85308
145d5375d441
153302368477
hex1ca6009851

123044141137 has 2 divisors, whose sum is σ = 123044141138. Its totient is φ = 123044141136.

The previous prime is 123044141131. The next prime is 123044141147. The reversal of 123044141137 is 731141440321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 122782963216 + 261177921 = 350404^2 + 16161^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-123044141137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 123044141099 and 123044141108.

It is not a weakly prime, because it can be changed into another prime (123044141131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61522070568 + 61522070569.

It is an arithmetic number, because the mean of its divisors is an integer number (61522070569).

Almost surely, 2123044141137 is an apocalyptic number.

It is an amenable number.

123044141137 is a deficient number, since it is larger than the sum of its proper divisors (1).

123044141137 is an equidigital number, since it uses as much as digits as its factorization.

123044141137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8064, while the sum is 31.

Adding to 123044141137 its reverse (731141440321), we get a palindrome (854185581458).

The spelling of 123044141137 in words is "one hundred twenty-three billion, forty-four million, one hundred forty-one thousand, one hundred thirty-seven".