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10022132117 is a prime number
BaseRepresentation
bin10010101010101110…
…11001100110010101
3221212110102001200102
421111113121212111
5131011131211432
64334253023445
7503233501034
oct112527314625
927773361612
1010022132117
114283261218
121b38484b85
13c394691ba
146b108471b
153d9cd0962
hex2555d9995

10022132117 has 2 divisors, whose sum is σ = 10022132118. Its totient is φ = 10022132116.

The previous prime is 10022132093. The next prime is 10022132129. The reversal of 10022132117 is 71123122001.

10022132117 is digitally balanced in base 3, 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., 8476148356 + 1545983761 = 92066^2 + 39319^2 .

It is an emirp because it is prime and its reverse (71123122001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10022132117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10022132147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5011066058 + 5011066059.

It is an arithmetic number, because the mean of its divisors is an integer number (5011066059).

Almost surely, 210022132117 is an apocalyptic number.

It is an amenable number.

10022132117 is a deficient number, since it is larger than the sum of its proper divisors (1).

10022132117 is an equidigital number, since it uses as much as digits as its factorization.

10022132117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 168, while the sum is 20.

Adding to 10022132117 its reverse (71123122001), we get a palindrome (81145254118).

The spelling of 10022132117 in words is "ten billion, twenty-two million, one hundred thirty-two thousand, one hundred seventeen".