Search a number
-
+
3123022013393 is a prime number
BaseRepresentation
bin101101011100100010100…
…111100010001111010001
3102001120001202220001222112
4231130202213202033101
5402131422113412033
610350410240115105
7441426253055132
oct55344247421721
912046052801875
103123022013393
11aa4514567227
12425319905a95
13198665b38479
14ab225735c89
1556384b8ac48
hex2d7229e23d1

3123022013393 has 2 divisors, whose sum is σ = 3123022013394. Its totient is φ = 3123022013392.

The previous prime is 3123022013299. The next prime is 3123022013399. The reversal of 3123022013393 is 3933102203213.

3123022013393 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., 2040292278544 + 1082729734849 = 1428388^2 + 1040543^2 .

It is a cyclic number.

It is not a de Polignac number, because 3123022013393 - 230 = 3121948271569 is a prime.

It is a super-2 number, since 2×31230220133932 (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (3123022013399) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1561511006696 + 1561511006697.

It is an arithmetic number, because the mean of its divisors is an integer number (1561511006697).

Almost surely, 23123022013393 is an apocalyptic number.

It is an amenable number.

3123022013393 is a deficient number, since it is larger than the sum of its proper divisors (1).

3123022013393 is an equidigital number, since it uses as much as digits as its factorization.

3123022013393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17496, while the sum is 32.

The spelling of 3123022013393 in words is "three trillion, one hundred twenty-three billion, twenty-two million, thirteen thousand, three hundred ninety-three".