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101022209989 is a prime number
BaseRepresentation
bin101111000010101100…
…1001001011111000101
3100122202102002222201221
41132011121021133011
53123343141204424
6114224200320341
710204265421361
oct1360531113705
9318672088657
10101022209989
1139930449648
12176b41730b1
1396ac524c1c
144c64b102a1
152963d569e4
hex17856497c5

101022209989 has 2 divisors, whose sum is σ = 101022209990. Its totient is φ = 101022209988.

The previous prime is 101022209957. The next prime is 101022210011. The reversal of 101022209989 is 989902220101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100444624900 + 577585089 = 316930^2 + 24033^2 .

It is an emirp because it is prime and its reverse (989902220101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101022209989 - 25 = 101022209957 is a prime.

It is a super-2 number, since 2×1010222099892 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101022209909) 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, 50511104994 + 50511104995.

It is an arithmetic number, because the mean of its divisors is an integer number (50511104995).

Almost surely, 2101022209989 is an apocalyptic number.

It is an amenable number.

101022209989 is a deficient number, since it is larger than the sum of its proper divisors (1).

101022209989 is an equidigital number, since it uses as much as digits as its factorization.

101022209989 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46656, while the sum is 43.

The spelling of 101022209989 in words is "one hundred one billion, twenty-two million, two hundred nine thousand, nine hundred eighty-nine".