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10022100007 is a prime number
BaseRepresentation
bin10010101010101110…
…10001110000100111
3221212110100102122011
421111113101300213
5131011124200012
64334252215051
7503233305313
oct112527216047
927773312564
1010022100007
11428323a087
121b3846a487
13c394576ba
146b1076b43
153d9cc61a7
hex2555d1c27

10022100007 has 2 divisors, whose sum is σ = 10022100008. Its totient is φ = 10022100006.

The previous prime is 10022099951. The next prime is 10022100059. The reversal of 10022100007 is 70000122001.

10022100007 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 is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10022100007 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10022100007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10022101007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5011050003 + 5011050004.

It is an arithmetic number, because the mean of its divisors is an integer number (5011050004).

Almost surely, 210022100007 is an apocalyptic number.

10022100007 is a deficient number, since it is larger than the sum of its proper divisors (1).

10022100007 is an equidigital number, since it uses as much as digits as its factorization.

10022100007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28, while the sum is 13.

Adding to 10022100007 its reverse (70000122001), we get a palindrome (80022222008).

The spelling of 10022100007 in words is "ten billion, twenty-two million, one hundred thousand, seven".