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22072688321 is a prime number
BaseRepresentation
bin10100100011101000…
…100111111011000001
32002222021122202002212
4110203220213323001
5330201102011241
614050130151505
71410660516665
oct244350477301
962867582085
1022072688321
1193a7503482
124340122595
132109c22328
1410d56a28a5
15892bdabeb
hex523a27ec1

22072688321 has 2 divisors, whose sum is σ = 22072688322. Its totient is φ = 22072688320.

The previous prime is 22072688269. The next prime is 22072688333. The reversal of 22072688321 is 12388627022.

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., 14492548225 + 7580140096 = 120385^2 + 87064^2 .

It is a cyclic number.

It is not a de Polignac number, because 22072688321 - 230 = 20998946497 is a prime.

It is not a weakly prime, because it can be changed into another prime (22072688371) 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, 11036344160 + 11036344161.

It is an arithmetic number, because the mean of its divisors is an integer number (11036344161).

Almost surely, 222072688321 is an apocalyptic number.

It is an amenable number.

22072688321 is a deficient number, since it is larger than the sum of its proper divisors (1).

22072688321 is an equidigital number, since it uses as much as digits as its factorization.

22072688321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 129024, while the sum is 41.

The spelling of 22072688321 in words is "twenty-two billion, seventy-two million, six hundred eighty-eight thousand, three hundred twenty-one".