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222122131993 is a prime number
BaseRepresentation
bin1100111011011110000…
…0101100001000011001
3210020100001222102120101
43032313200230020121
512114401231210433
6250012544055401
722022251653436
oct3166740541031
9706301872511
10222122131993
1186224175413
1237070304561
1317c3b5635c8
14aa72174b8d
155ba067a07d
hex33b782c219

222122131993 has 2 divisors, whose sum is σ = 222122131994. Its totient is φ = 222122131992.

The previous prime is 222122131961. The next prime is 222122132053. The reversal of 222122131993 is 399131221222.

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., 138107370384 + 84014761609 = 371628^2 + 289853^2 .

It is a cyclic number.

It is not a de Polignac number, because 222122131993 - 25 = 222122131961 is a prime.

It is a super-3 number, since 3×2221221319933 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (222122131493) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111061065996 + 111061065997.

It is an arithmetic number, because the mean of its divisors is an integer number (111061065997).

Almost surely, 2222122131993 is an apocalyptic number.

It is an amenable number.

222122131993 is a deficient number, since it is larger than the sum of its proper divisors (1).

222122131993 is an equidigital number, since it uses as much as digits as its factorization.

222122131993 is an evil number, because the sum of its binary digits is even.

The product of its digits is 23328, while the sum is 37.

The spelling of 222122131993 in words is "two hundred twenty-two billion, one hundred twenty-two million, one hundred thirty-one thousand, nine hundred ninety-three".