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22333212400181 is a prime number
BaseRepresentation
bin1010001001111110110110…
…01100010001101000110101
32221002000220222020010100112
411010333123030101220311
510411401404333301211
6115255423001152405
74463343552135344
oct504773314215065
987060828203315
1022333212400181
11713050a1a0a31
1226083ab78b705
13c6002242c7b7
14572d0cb8db5b
1528ae1119888b
hex144fdb311a35

22333212400181 has 2 divisors, whose sum is σ = 22333212400182. Its totient is φ = 22333212400180.

The previous prime is 22333212400159. The next prime is 22333212400201. The reversal of 22333212400181 is 18100421233322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13406831233156 + 8926381167025 = 3661534^2 + 2987705^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22333212400181 is a prime.

It is a super-2 number, since 2×223332124001812 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22333212400981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11166606200090 + 11166606200091.

It is an arithmetic number, because the mean of its divisors is an integer number (11166606200091).

Almost surely, 222333212400181 is an apocalyptic number.

It is an amenable number.

22333212400181 is a deficient number, since it is larger than the sum of its proper divisors (1).

22333212400181 is an equidigital number, since it uses as much as digits as its factorization.

22333212400181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 22333212400181 in words is "twenty-two trillion, three hundred thirty-three billion, two hundred twelve million, four hundred thousand, one hundred eighty-one".