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200221012129 is a prime number
BaseRepresentation
bin1011101001111000011…
…0100011000010100001
3201010210202011021010211
42322132012203002201
511240023034342004
6231551423054121
720315443344145
oct2723606430241
9633722137124
10200221012129
1177a055a5956
1232979741341
1315b5b052498
1499955b3225
15531ca7e504
hex2e9e1a30a1

200221012129 has 2 divisors, whose sum is σ = 200221012130. Its totient is φ = 200221012128.

The previous prime is 200221012093. The next prime is 200221012139. The reversal of 200221012129 is 921210122002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101775674529 + 98445337600 = 319023^2 + 313760^2 .

It is a cyclic number.

It is not a de Polignac number, because 200221012129 - 27 = 200221012001 is a prime.

It is a super-2 number, since 2×2002210121292 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (200221012139) 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, 100110506064 + 100110506065.

It is an arithmetic number, because the mean of its divisors is an integer number (100110506065).

Almost surely, 2200221012129 is an apocalyptic number.

It is an amenable number.

200221012129 is a deficient number, since it is larger than the sum of its proper divisors (1).

200221012129 is an equidigital number, since it uses as much as digits as its factorization.

200221012129 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 22.

The spelling of 200221012129 in words is "two hundred billion, two hundred twenty-one million, twelve thousand, one hundred twenty-nine".