Search a number
-
+
1212331003321 is a prime number
BaseRepresentation
bin10001101001000100100…
…011110000110110111001
311021220020102122222112011
4101221010203300312321
5124330323214101241
62324534232445521
7153405456334024
oct21510443606671
94256212588464
101212331003321
11428168278429
12176b5b2498a1
138a4261b3b89
144296a0aa1bb
1521807541281
hex11a448f0db9

1212331003321 has 2 divisors, whose sum is σ = 1212331003322. Its totient is φ = 1212331003320.

The previous prime is 1212331003319. The next prime is 1212331003333. The reversal of 1212331003321 is 1233001332121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 726013060096 + 486317943225 = 852064^2 + 697365^2 .

It is a cyclic number.

It is not a de Polignac number, because 1212331003321 - 21 = 1212331003319 is a prime.

It is a super-2 number, since 2×12123310033212 (a number of 25 digits) contains 22 as substring.

Together with 1212331003319, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 1212331003292 and 1212331003301.

It is not a weakly prime, because it can be changed into another prime (1212331003391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 606165501660 + 606165501661.

It is an arithmetic number, because the mean of its divisors is an integer number (606165501661).

Almost surely, 21212331003321 is an apocalyptic number.

It is an amenable number.

1212331003321 is a deficient number, since it is larger than the sum of its proper divisors (1).

1212331003321 is an equidigital number, since it uses as much as digits as its factorization.

1212331003321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 1212331003321 its reverse (1233001332121), we get a palindrome (2445332335442).

The spelling of 1212331003321 in words is "one trillion, two hundred twelve billion, three hundred thirty-one million, three thousand, three hundred twenty-one".