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212210002093 is a prime number
BaseRepresentation
bin1100010110100010110…
…0111010100010101101
3202021202021120001120011
43011220230322202231
511434101230031333
6241253220453221
721221522153515
oct3055054724255
9667667501504
10212210002093
1181aa8017521
123516484a211
131701bb3079b
14a3b1966845
1557c03779cd
hex3168b3a8ad

212210002093 has 2 divisors, whose sum is σ = 212210002094. Its totient is φ = 212210002092.

The previous prime is 212210002019. The next prime is 212210002133. The reversal of 212210002093 is 390200012212.

212210002093 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 202840342884 + 9369659209 = 450378^2 + 96797^2 .

It is a cyclic number.

It is not a de Polignac number, because 212210002093 - 213 = 212209993901 is a prime.

It is a super-2 number, since 2×2122100020932 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212210002393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106105001046 + 106105001047.

It is an arithmetic number, because the mean of its divisors is an integer number (106105001047).

Almost surely, 2212210002093 is an apocalyptic number.

It is an amenable number.

212210002093 is a deficient number, since it is larger than the sum of its proper divisors (1).

212210002093 is an equidigital number, since it uses as much as digits as its factorization.

212210002093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 22.

The spelling of 212210002093 in words is "two hundred twelve billion, two hundred ten million, two thousand, ninety-three".