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9972088981 is a prime number
BaseRepresentation
bin10010100100110001…
…00000000010010101
3221201222020121101221
421102120200002111
5130410323321411
64325304250341
7502055233501
oct112230400225
927658217357
109972088981
114257a91058
121b237709b1
13c2bc9728a
146a8579301
153d56e8071
hex252620095

9972088981 has 2 divisors, whose sum is σ = 9972088982. Its totient is φ = 9972088980.

The previous prime is 9972088969. The next prime is 9972088999. The reversal of 9972088981 is 1898802799.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5366295025 + 4605793956 = 73255^2 + 67866^2 .

It is an emirp because it is prime and its reverse (1898802799) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 9972088981 - 25 = 9972088949 is a prime.

It is a super-2 number, since 2×99720889812 (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 (9972088901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4986044490 + 4986044491.

It is an arithmetic number, because the mean of its divisors is an integer number (4986044491).

Almost surely, 29972088981 is an apocalyptic number.

It is an amenable number.

9972088981 is a deficient number, since it is larger than the sum of its proper divisors (1).

9972088981 is an equidigital number, since it uses as much as digits as its factorization.

9972088981 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5225472, while the sum is 61.

The square root of 9972088981 is about 99860.3473907436. The cubic root of 9972088981 is about 2152.4284067065.

The spelling of 9972088981 in words is "nine billion, nine hundred seventy-two million, eighty-eight thousand, nine hundred eighty-one".