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234330138157 is a prime number
BaseRepresentation
bin1101101000111100101…
…0100010011000101101
3211101211212111101201211
43122033022202120231
512314402003410112
6255352204034421
722633630211233
oct3321712423055
9741755441654
10234330138157
1190419288105
12394b8832a11
13191358265ab
14b4ad65a953
1561672d70a7
hex368f2a262d

234330138157 has 2 divisors, whose sum is σ = 234330138158. Its totient is φ = 234330138156.

The previous prime is 234330138101. The next prime is 234330138167. The reversal of 234330138157 is 751831033432.

234330138157 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 can be written as a sum of positive squares in only one way, i.e., 225909139401 + 8420998756 = 475299^2 + 91766^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-234330138157 is a prime.

It is a super-2 number, since 2×2343301381572 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (234330138167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 117165069078 + 117165069079.

It is an arithmetic number, because the mean of its divisors is an integer number (117165069079).

Almost surely, 2234330138157 is an apocalyptic number.

It is an amenable number.

234330138157 is a deficient number, since it is larger than the sum of its proper divisors (1).

234330138157 is an equidigital number, since it uses as much as digits as its factorization.

234330138157 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 181440, while the sum is 40.

The spelling of 234330138157 in words is "two hundred thirty-four billion, three hundred thirty million, one hundred thirty-eight thousand, one hundred fifty-seven".