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2002222219681 is a prime number
BaseRepresentation
bin11101001000101101101…
…111101000000110100001
321002102002022100022021201
4131020231233220012201
5230301022342012211
64131450322521201
7264440635026445
oct35105557500641
97072068308251
102002222219681
11702157277382
12284064206201
13116a68a75568
146cc9da72825
15371381380c1
hex1d22dbe81a1

2002222219681 has 2 divisors, whose sum is σ = 2002222219682. Its totient is φ = 2002222219680.

The previous prime is 2002222219639. The next prime is 2002222219687. The reversal of 2002222219681 is 1869122222002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1858903189056 + 143319030625 = 1363416^2 + 378575^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2002222219681 is a prime.

It is a super-2 number, since 2×20022222196812 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2002222219681.

It is not a weakly prime, because it can be changed into another prime (2002222219687) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001111109840 + 1001111109841.

It is an arithmetic number, because the mean of its divisors is an integer number (1001111109841).

Almost surely, 22002222219681 is an apocalyptic number.

It is an amenable number.

2002222219681 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002222219681 is an equidigital number, since it uses as much as digits as its factorization.

2002222219681 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27648, while the sum is 37.

The spelling of 2002222219681 in words is "two trillion, two billion, two hundred twenty-two million, two hundred nineteen thousand, six hundred eighty-one".