Search a number
-
+
3213312353 is a prime number
BaseRepresentation
bin1011111110000111…
…0100000101100001
322021221102011212122
42333201310011201
523040101443403
61250504234025
7142425463406
oct27741640541
98257364778
103213312353
1113a9916149
1275816b915
133c294cc74
14226a922ad
1513c17c838
hexbf874161

3213312353 has 2 divisors, whose sum is σ = 3213312354. Its totient is φ = 3213312352.

The previous prime is 3213312329. The next prime is 3213312373. The reversal of 3213312353 is 3532133123.

3213312353 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., 3141266209 + 72046144 = 56047^2 + 8488^2 .

It is a cyclic number.

It is not a de Polignac number, because 3213312353 - 218 = 3213050209 is a prime.

It is a super-3 number, since 3×32133123533 (a number of 29 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (3213312373) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1606656176 + 1606656177.

It is an arithmetic number, because the mean of its divisors is an integer number (1606656177).

Almost surely, 23213312353 is an apocalyptic number.

It is an amenable number.

3213312353 is a deficient number, since it is larger than the sum of its proper divisors (1).

3213312353 is an equidigital number, since it uses as much as digits as its factorization.

3213312353 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4860, while the sum is 26.

The square root of 3213312353 is about 56686.0860617489. The cubic root of 3213312353 is about 1475.6532359663.

Adding to 3213312353 its reverse (3532133123), we get a palindrome (6745445476).

The spelling of 3213312353 in words is "three billion, two hundred thirteen million, three hundred twelve thousand, three hundred fifty-three".