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122031200021 is a prime number
BaseRepresentation
bin111000110100110100…
…0000101011100010101
3102122222120020021002212
41301221220011130111
53444404441400041
6132021012043205
711550022041233
oct1615150053425
9378876207085
10122031200021
1147831481825
121b798003505
13b679c66983
145c99003953
15329347c8eb
hex1c69a05715

122031200021 has 2 divisors, whose sum is σ = 122031200022. Its totient is φ = 122031200020.

The previous prime is 122031200009. The next prime is 122031200023. The reversal of 122031200021 is 120002130221.

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., 99014062225 + 23017137796 = 314665^2 + 151714^2 .

It is a cyclic number.

It is not a de Polignac number, because 122031200021 - 210 = 122031198997 is a prime.

It is a super-2 number, since 2×1220312000212 (a number of 23 digits) contains 22 as substring.

Together with 122031200023, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 122031199969 and 122031200005.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122031200023) 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, 61015600010 + 61015600011.

It is an arithmetic number, because the mean of its divisors is an integer number (61015600011).

Almost surely, 2122031200021 is an apocalyptic number.

It is an amenable number.

122031200021 is a deficient number, since it is larger than the sum of its proper divisors (1).

122031200021 is an equidigital number, since it uses as much as digits as its factorization.

122031200021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 122031200021 its reverse (120002130221), we get a palindrome (242033330242).

The spelling of 122031200021 in words is "one hundred twenty-two billion, thirty-one million, two hundred thousand, twenty-one".