Search a number
-
+
3213400217 is a prime number
BaseRepresentation
bin1011111110001000…
…1001100010011001
322021221120122101212
42333202021202121
523040112301332
61250510152505
7142426310516
oct27742114231
98257518355
103213400217
1113a9976165
127581b2735
133c2980c61
14226ab630d
1513c1988b2
hexbf889899

3213400217 has 2 divisors, whose sum is σ = 3213400218. Its totient is φ = 3213400216.

The previous prime is 3213400181. The next prime is 3213400237. The reversal of 3213400217 is 7120043123.

3213400217 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., 2955444496 + 257955721 = 54364^2 + 16061^2 .

It is a cyclic number.

It is not a de Polignac number, because 3213400217 - 28 = 3213399961 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3213400192 and 3213400201.

It is not a weakly prime, because it can be changed into another prime (3213400237) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1606700108 + 1606700109.

It is an arithmetic number, because the mean of its divisors is an integer number (1606700109).

Almost surely, 23213400217 is an apocalyptic number.

It is an amenable number.

3213400217 is a deficient number, since it is larger than the sum of its proper divisors (1).

3213400217 is an equidigital number, since it uses as much as digits as its factorization.

3213400217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 3213400217 is about 56686.8610614488. The cubic root of 3213400217 is about 1475.6666858066. Note that the first 4 decimals are identical.

The spelling of 3213400217 in words is "three billion, two hundred thirteen million, four hundred thousand, two hundred seventeen".