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213023777 is a prime number
BaseRepresentation
bin11001011001001…
…11110000100001
3112211211201200112
430230213300201
5414013230102
633045501105
75164446401
oct1454476041
9484751615
10213023777
11aa278a0a
125b411795
1335197295
1420412801
1513a7d252
hexcb27c21

213023777 has 2 divisors, whose sum is σ = 213023778. Its totient is φ = 213023776.

The previous prime is 213023771. The next prime is 213023809. The reversal of 213023777 is 777320312.

It is an a-pointer prime, because the next prime (213023809) can be obtained adding 213023777 to its sum of digits (32).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 212459776 + 564001 = 14576^2 + 751^2 .

It is a cyclic number.

It is not a de Polignac number, because 213023777 - 216 = 212958241 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (213023771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106511888 + 106511889.

It is an arithmetic number, because the mean of its divisors is an integer number (106511889).

Almost surely, 2213023777 is an apocalyptic number.

It is an amenable number.

213023777 is a deficient number, since it is larger than the sum of its proper divisors (1).

213023777 is an equidigital number, since it uses as much as digits as its factorization.

213023777 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12348, while the sum is 32.

The square root of 213023777 is about 14595.3340831925. The cubic root of 213023777 is about 597.2314831349.

The spelling of 213023777 in words is "two hundred thirteen million, twenty-three thousand, seven hundred seventy-seven".