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100022001089 is a prime number
BaseRepresentation
bin101110100100111000…
…1101001110111000001
3100120011201001010001212
41131021301221313001
53114321113013324
6113541030335505
710140431660423
oct1351161516701
9316151033055
10100022001089
11394678a291a
12174751ba595
13958024393a
144babd4a813
15290613370e
hex1749c69dc1

100022001089 has 2 divisors, whose sum is σ = 100022001090. Its totient is φ = 100022001088.

The previous prime is 100022001083. The next prime is 100022001103. The reversal of 100022001089 is 980100220001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 79374610225 + 20647390864 = 281735^2 + 143692^2 .

It is a cyclic number.

It is not a de Polignac number, because 100022001089 - 28 = 100022000833 is a prime.

It is not a weakly prime, because it can be changed into another prime (100022001083) 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, 50011000544 + 50011000545.

It is an arithmetic number, because the mean of its divisors is an integer number (50011000545).

Almost surely, 2100022001089 is an apocalyptic number.

It is an amenable number.

100022001089 is a deficient number, since it is larger than the sum of its proper divisors (1).

100022001089 is an equidigital number, since it uses as much as digits as its factorization.

100022001089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 100022001089 in words is "one hundred billion, twenty-two million, one thousand, eighty-nine".