Search a number
-
+
1012312331 is a prime number
BaseRepresentation
bin111100010101101…
…010100100001011
32121112211210110022
4330111222210023
54033122443311
6244241211055
734041340622
oct7425524413
92545753408
101012312331
1147a473268
12243030a8b
1313195b3a4
14986346b9
155dd145db
hex3c56a90b

1012312331 has 2 divisors, whose sum is σ = 1012312332. Its totient is φ = 1012312330.

The previous prime is 1012312307. The next prime is 1012312333. The reversal of 1012312331 is 1332132101.

1012312331 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 is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1012312331 is a prime.

It is a super-2 number, since 2×10123123312 = 2049552510989307122, which contains 22 as substring.

Together with 1012312333, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1012312333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506156165 + 506156166.

It is an arithmetic number, because the mean of its divisors is an integer number (506156166).

Almost surely, 21012312331 is an apocalyptic number.

1012312331 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012312331 is an equidigital number, since it uses as much as digits as its factorization.

1012312331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 1012312331 is about 31816.8560829005. The cubic root of 1012312331 is about 1004.0873808886.

Adding to 1012312331 its reverse (1332132101), we get a palindrome (2344444432).

The spelling of 1012312331 in words is "one billion, twelve million, three hundred twelve thousand, three hundred thirty-one".