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10022340101 is a prime number
BaseRepresentation
bin10010101010110000…
…01100011000000101
3221212110210121222112
421111120030120011
5131011204340401
64334301310405
7503235325304
oct112530143005
927773717875
1010022340101
114283393504
121b38565405
13c3950ca77
146b10da43b
153d9d223bb
hex25560c605

10022340101 has 2 divisors, whose sum is σ = 10022340102. Its totient is φ = 10022340100.

The previous prime is 10022340073. The next prime is 10022340151. The reversal of 10022340101 is 10104322001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8549776225 + 1472563876 = 92465^2 + 38374^2 .

It is a cyclic number.

It is not a de Polignac number, because 10022340101 - 230 = 8948598277 is a prime.

It is a super-2 number, since 2×100223401012 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10022340151) 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, 5011170050 + 5011170051.

It is an arithmetic number, because the mean of its divisors is an integer number (5011170051).

Almost surely, 210022340101 is an apocalyptic number.

It is an amenable number.

10022340101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10022340101 is an equidigital number, since it uses as much as digits as its factorization.

10022340101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10022340101 its reverse (10104322001), we get a palindrome (20126662102).

The spelling of 10022340101 in words is "ten billion, twenty-two million, three hundred forty thousand, one hundred one".