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19833577121 is a prime number
BaseRepresentation
bin10010011110001011…
…000101111010100001
31220012020101002222102
4102132023011322201
5311104343431441
613040022220145
71301331424001
oct223613057241
956166332872
1019833577121
1184585a0056
123a16284655
131b41078867
14d62164001
157b134569b
hex49e2c5ea1

19833577121 has 2 divisors, whose sum is σ = 19833577122. Its totient is φ = 19833577120.

The previous prime is 19833577067. The next prime is 19833577123. The reversal of 19833577121 is 12177533891.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12558340096 + 7275237025 = 112064^2 + 85295^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-19833577121 is a prime.

Together with 19833577123, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (19833577123) 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, 9916788560 + 9916788561.

It is an arithmetic number, because the mean of its divisors is an integer number (9916788561).

Almost surely, 219833577121 is an apocalyptic number.

It is an amenable number.

19833577121 is a deficient number, since it is larger than the sum of its proper divisors (1).

19833577121 is an equidigital number, since it uses as much as digits as its factorization.

19833577121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 317520, while the sum is 47.

The spelling of 19833577121 in words is "nineteen billion, eight hundred thirty-three million, five hundred seventy-seven thousand, one hundred twenty-one".