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22221302012321 is a prime number
BaseRepresentation
bin1010000110101110011001…
…10100000001100110100001
32220200100001202002101111112
411003113030310001212201
510403033211303343241
6115132154125153105
74452302402422106
oct503271464014641
986610052071445
1022221302012321
117098001750185
1225aa7790bb795
13c525c9202a99
1456b733d9aaad
152880614e01eb
hex1435ccd019a1

22221302012321 has 2 divisors, whose sum is σ = 22221302012322. Its totient is φ = 22221302012320.

The previous prime is 22221302012291. The next prime is 22221302012461. The reversal of 22221302012321 is 12321020312222.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12360069144721 + 9861232867600 = 3515689^2 + 3140260^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22221302012321 is a prime.

It is not a weakly prime, because it can be changed into another prime (22221302014321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11110651006160 + 11110651006161.

It is an arithmetic number, because the mean of its divisors is an integer number (11110651006161).

Almost surely, 222221302012321 is an apocalyptic number.

It is an amenable number.

22221302012321 is a deficient number, since it is larger than the sum of its proper divisors (1).

22221302012321 is an equidigital number, since it uses as much as digits as its factorization.

22221302012321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 22221302012321 its reverse (12321020312222), we get a palindrome (34542322324543).

The spelling of 22221302012321 in words is "twenty-two trillion, two hundred twenty-one billion, three hundred two million, twelve thousand, three hundred twenty-one".