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42291000097 is a prime number
BaseRepresentation
bin100111011000101111…
…010111001100100001
311001011022222101210221
4213120233113030201
51143102444000342
631232254523041
73025003366243
oct473057271441
9131138871727
1042291000097
1116a32192355
128243206481
133cac8c6118
142092976093
151177bcba67
hex9d8bd7321

42291000097 has 2 divisors, whose sum is σ = 42291000098. Its totient is φ = 42291000096.

The previous prime is 42291000091. The next prime is 42291000131. The reversal of 42291000097 is 79000019224.

It is a happy number.

It is an a-pointer prime, because the next prime (42291000131) can be obtained adding 42291000097 to its sum of digits (34).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 42286164496 + 4835601 = 205636^2 + 2199^2 .

It is a cyclic number.

It is not a de Polignac number, because 42291000097 - 27 = 42290999969 is a prime.

It is not a weakly prime, because it can be changed into another prime (42291000091) 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, 21145500048 + 21145500049.

It is an arithmetic number, because the mean of its divisors is an integer number (21145500049).

Almost surely, 242291000097 is an apocalyptic number.

It is an amenable number.

42291000097 is a deficient number, since it is larger than the sum of its proper divisors (1).

42291000097 is an equidigital number, since it uses as much as digits as its factorization.

42291000097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9072, while the sum is 34.

The spelling of 42291000097 in words is "forty-two billion, two hundred ninety-one million, ninety-seven", and thus it is an aban number.