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213132193 is a prime number
BaseRepresentation
bin11001011010000…
…10001110100001
3112212001020101221
430231002032201
5414030212233
633052055041
75165410441
oct1455021641
9485036357
10213132193
11aa34240a
125b464481
1335204731
1420440121
1513aa042d
hexcb423a1

213132193 has 2 divisors, whose sum is σ = 213132194. Its totient is φ = 213132192.

The previous prime is 213132181. The next prime is 213132203. The reversal of 213132193 is 391231312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 172580769 + 40551424 = 13137^2 + 6368^2 .

It is a cyclic number.

It is not a de Polignac number, because 213132193 - 217 = 213001121 is a prime.

It is not a weakly prime, because it can be changed into another prime (213132793) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106566096 + 106566097.

It is an arithmetic number, because the mean of its divisors is an integer number (106566097).

Almost surely, 2213132193 is an apocalyptic number.

It is an amenable number.

213132193 is a deficient number, since it is larger than the sum of its proper divisors (1).

213132193 is an equidigital number, since it uses as much as digits as its factorization.

213132193 is an evil number, because the sum of its binary digits is even.

The product of its digits is 972, while the sum is 25.

The square root of 213132193 is about 14599.0476744204. The cubic root of 213132193 is about 597.3327839818.

The spelling of 213132193 in words is "two hundred thirteen million, one hundred thirty-two thousand, one hundred ninety-three".