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22200212202001 is a prime number
BaseRepresentation
bin1010000110000111000111…
…10000110010001000010001
32220121022121221220000112121
411003003203300302020101
510402212013310431001
6115114345305254241
74450624645121461
oct503034360621021
986538557800477
1022200212202001
11708a06a036579
1225a6672194381
13c50617b04492
1456a6d3069ba1
15287729c526a1
hex1430e3c32211

22200212202001 has 2 divisors, whose sum is σ = 22200212202002. Its totient is φ = 22200212202000.

The previous prime is 22200212201963. The next prime is 22200212202019. The reversal of 22200212202001 is 10020221200222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21790037280400 + 410174921601 = 4667980^2 + 640449^2 .

It is a cyclic number.

It is not a de Polignac number, because 22200212202001 - 27 = 22200212201873 is a prime.

It is not a weakly prime, because it can be changed into another prime (22200212202061) 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, 11100106101000 + 11100106101001.

It is an arithmetic number, because the mean of its divisors is an integer number (11100106101001).

Almost surely, 222200212202001 is an apocalyptic number.

It is an amenable number.

22200212202001 is a deficient number, since it is larger than the sum of its proper divisors (1).

22200212202001 is an equidigital number, since it uses as much as digits as its factorization.

22200212202001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 22200212202001 its reverse (10020221200222), we get a palindrome (32220433402223).

The spelling of 22200212202001 in words is "twenty-two trillion, two hundred billion, two hundred twelve million, two hundred two thousand, one".