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22212120211993 is a prime number
BaseRepresentation
bin1010000110011101010011…
…00010001111001000011001
32220122110100211220121022201
411003032221202033020121
510402410410233240433
6115124035051250201
74451526021413665
oct503165142171031
986573324817281
1022212120211993
11709411a877748
1225a8a36149961
13c51794b9b33a
1456b10277d8a5
15287bc53a1a7d
hex1433a988f219

22212120211993 has 2 divisors, whose sum is σ = 22212120211994. Its totient is φ = 22212120211992.

The previous prime is 22212120211949. The next prime is 22212120212033. The reversal of 22212120211993 is 39911202121222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14216843693529 + 7995276518464 = 3770523^2 + 2827592^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22212120211993 is a prime.

It is a super-2 number, since 2×222121202119932 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (22212120211903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11106060105996 + 11106060105997.

It is an arithmetic number, because the mean of its divisors is an integer number (11106060105997).

Almost surely, 222212120211993 is an apocalyptic number.

It is an amenable number.

22212120211993 is a deficient number, since it is larger than the sum of its proper divisors (1).

22212120211993 is an equidigital number, since it uses as much as digits as its factorization.

22212120211993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15552, while the sum is 37.

The spelling of 22212120211993 in words is "twenty-two trillion, two hundred twelve billion, one hundred twenty million, two hundred eleven thousand, nine hundred ninety-three".