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213868033 is a prime number
BaseRepresentation
bin11001011111101…
…01111000000001
3112220102121210021
430233311320001
5414222234113
633115533441
75204563651
oct1457657001
9486377707
10213868033
11aa7a5245
125b75a281
1335401642
1420592361
1513b9848d
hexcbf5e01

213868033 has 2 divisors, whose sum is σ = 213868034. Its totient is φ = 213868032.

The previous prime is 213868019. The next prime is 213868073. The reversal of 213868033 is 330868312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 190219264 + 23648769 = 13792^2 + 4863^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-213868033 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 213868033.

It is not a weakly prime, because it can be changed into another prime (213868003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106934016 + 106934017.

It is an arithmetic number, because the mean of its divisors is an integer number (106934017).

Almost surely, 2213868033 is an apocalyptic number.

It is an amenable number.

213868033 is a deficient number, since it is larger than the sum of its proper divisors (1).

213868033 is an equidigital number, since it uses as much as digits as its factorization.

213868033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 213868033 is about 14624.2276035352. The cubic root of 213868033 is about 598.0194258854.

The spelling of 213868033 in words is "two hundred thirteen million, eight hundred sixty-eight thousand, thirty-three".