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42153268181 is a prime number
BaseRepresentation
bin100111010000100001…
…111101001111010101
311000210201210220010212
4213100201331033111
51142312214040211
631210454455205
73021411603413
oct472041751725
9130721726125
1042153268181
111697146a322
128205064505
133c8a20124b
14207c5622b3
15116aa7238b
hex9d087d3d5

42153268181 has 2 divisors, whose sum is σ = 42153268182. Its totient is φ = 42153268180.

The previous prime is 42153268111. The next prime is 42153268231. The reversal of 42153268181 is 18186235124.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26964924100 + 15188344081 = 164210^2 + 123241^2 .

It is a cyclic number.

It is not a de Polignac number, because 42153268181 - 210 = 42153267157 is a prime.

It is a super-2 number, since 2×421532681812 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42153268111) 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, 21076634090 + 21076634091.

It is an arithmetic number, because the mean of its divisors is an integer number (21076634091).

Almost surely, 242153268181 is an apocalyptic number.

It is an amenable number.

42153268181 is a deficient number, since it is larger than the sum of its proper divisors (1).

42153268181 is an equidigital number, since it uses as much as digits as its factorization.

42153268181 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 92160, while the sum is 41.

The spelling of 42153268181 in words is "forty-two billion, one hundred fifty-three million, two hundred sixty-eight thousand, one hundred eighty-one".