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2221303102129 is a prime number
BaseRepresentation
bin100000010100101111111…
…110110111101010110001
321212100120102200020210001
4200110233332313222301
5242343212043232004
64420241430310001
7316324650556366
oct40245776675261
97770512606701
102221303102129
1178705a767a11
122ba605ab8301
13131611211107
1479723d4446d
153cbab7c21a4
hex2052ffb7ab1

2221303102129 has 2 divisors, whose sum is σ = 2221303102130. Its totient is φ = 2221303102128.

The previous prime is 2221303102037. The next prime is 2221303102219. The reversal of 2221303102129 is 9212013031222.

Together with next prime (2221303102219) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2192922645904 + 28380456225 = 1480852^2 + 168465^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221303102129 - 237 = 2083864148657 is a prime.

It is a super-3 number, since 3×22213031021293 (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2221303102097 and 2221303102106.

It is not a weakly prime, because it can be changed into another prime (2221303112129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110651551064 + 1110651551065.

It is an arithmetic number, because the mean of its divisors is an integer number (1110651551065).

Almost surely, 22221303102129 is an apocalyptic number.

It is an amenable number.

2221303102129 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221303102129 is an equidigital number, since it uses as much as digits as its factorization.

2221303102129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 28.

The spelling of 2221303102129 in words is "two trillion, two hundred twenty-one billion, three hundred three million, one hundred two thousand, one hundred twenty-nine".