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213400853 is a prime number
BaseRepresentation
bin11001011100000…
…11110100010101
3112212112212221022
430232003310111
5414112311403
633101530525
75200606631
oct1456036425
9485485838
10213400853
11aa506246
125b573a45
1335299ac3
14204addc1
1513b04d38
hexcb83d15

213400853 has 2 divisors, whose sum is σ = 213400854. Its totient is φ = 213400852.

The previous prime is 213400849. The next prime is 213400861. The reversal of 213400853 is 358004312.

213400853 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 202265284 + 11135569 = 14222^2 + 3337^2 .

It is a cyclic number.

It is not a de Polignac number, because 213400853 - 22 = 213400849 is a prime.

It is a super-2 number, since 2×2134008532 = 91079848122255218, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213400823) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106700426 + 106700427.

It is an arithmetic number, because the mean of its divisors is an integer number (106700427).

Almost surely, 2213400853 is an apocalyptic number.

It is an amenable number.

213400853 is a deficient number, since it is larger than the sum of its proper divisors (1).

213400853 is an equidigital number, since it uses as much as digits as its factorization.

213400853 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 213400853 is about 14608.2460617283. The cubic root of 213400853 is about 597.5836643405.

The spelling of 213400853 in words is "two hundred thirteen million, four hundred thousand, eight hundred fifty-three".