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20122139993 is a prime number
BaseRepresentation
bin10010101111010111…
…110111110101011001
31220221100100121211012
4102233113313311121
5312202231434433
613124411143305
71311434240114
oct225727676531
956840317735
1020122139993
11859647266a
123a96a44b35
131b88aa0917
14d8c5db57b
157cb845848
hex4af5f7d59

20122139993 has 2 divisors, whose sum is σ = 20122139994. Its totient is φ = 20122139992.

The previous prime is 20122139987. The next prime is 20122140011. The reversal of 20122139993 is 39993122102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19547674969 + 574465024 = 139813^2 + 23968^2 .

It is a cyclic number.

It is not a de Polignac number, because 20122139993 - 26 = 20122139929 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20122139993.

It is not a weakly prime, because it can be changed into another prime (20122139963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10061069996 + 10061069997.

It is an arithmetic number, because the mean of its divisors is an integer number (10061069997).

Almost surely, 220122139993 is an apocalyptic number.

It is an amenable number.

20122139993 is a deficient number, since it is larger than the sum of its proper divisors (1).

20122139993 is an equidigital number, since it uses as much as digits as its factorization.

20122139993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 52488, while the sum is 41.

The spelling of 20122139993 in words is "twenty billion, one hundred twenty-two million, one hundred thirty-nine thousand, nine hundred ninety-three".