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212021120093 is a prime number
BaseRepresentation
bin1100010101110101110…
…0011000110001011101
3202021021010010212011112
43011131130120301131
511433204401320333
6241222352231405
721214036533236
oct3053534306135
9667233125145
10212021120093
1181a104386a2
123511153b565
1316cbb969ba3
14a39483a08d
1557ad9b7948
hex315d718c5d

212021120093 has 2 divisors, whose sum is σ = 212021120094. Its totient is φ = 212021120092.

The previous prime is 212021120021. The next prime is 212021120249. The reversal of 212021120093 is 390021120212.

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., 125183638969 + 86837481124 = 353813^2 + 294682^2 .

It is a cyclic number.

It is not a de Polignac number, because 212021120093 - 218 = 212020857949 is a prime.

It is a super-3 number, since 3×2120211200933 (a number of 35 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212021150093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106010560046 + 106010560047.

It is an arithmetic number, because the mean of its divisors is an integer number (106010560047).

Almost surely, 2212021120093 is an apocalyptic number.

It is an amenable number.

212021120093 is a deficient number, since it is larger than the sum of its proper divisors (1).

212021120093 is an equidigital number, since it uses as much as digits as its factorization.

212021120093 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 23.

The spelling of 212021120093 in words is "two hundred twelve billion, twenty-one million, one hundred twenty thousand, ninety-three".