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20121022001 is a prime number
BaseRepresentation
bin10010101111010011…
…100110111000110001
31220221021020211020002
4102233103212320301
5312201440201001
613124331155345
71311421602503
oct225723467061
956837224202
1020121022001
118595879703
123a965a5b55
131b8879baa2
14d8c3c9d73
157cb6c446b
hex4af4e6e31

20121022001 has 2 divisors, whose sum is σ = 20121022002. Its totient is φ = 20121022000.

The previous prime is 20121021979. The next prime is 20121022007. The reversal of 20121022001 is 10022012102.

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., 19894820401 + 226201600 = 141049^2 + 15040^2 .

It is a cyclic number.

It is not a de Polignac number, because 20121022001 - 222 = 20116827697 is a prime.

It is not a weakly prime, because it can be changed into another prime (20121022007) 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, 10060511000 + 10060511001.

It is an arithmetic number, because the mean of its divisors is an integer number (10060511001).

Almost surely, 220121022001 is an apocalyptic number.

It is an amenable number.

20121022001 is a deficient number, since it is larger than the sum of its proper divisors (1).

20121022001 is an equidigital number, since it uses as much as digits as its factorization.

20121022001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 20121022001 its reverse (10022012102), we get a palindrome (30143034103).

The spelling of 20121022001 in words is "twenty billion, one hundred twenty-one million, twenty-two thousand, one".