Search a number
-
+
12213831401 is a prime number
BaseRepresentation
bin10110110000000000…
…00100011011101001
31011112012110220212222
423120000010123221
5200003220101101
65335544443425
7611445565622
oct133000043351
934465426788
1012213831401
1151a8431342
12244a479575
1311c8552595
1483c1a0a49
154b740d01b
hex2d80046e9

12213831401 has 2 divisors, whose sum is σ = 12213831402. Its totient is φ = 12213831400.

The previous prime is 12213831337. The next prime is 12213831437. The reversal of 12213831401 is 10413831221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9643240000 + 2570591401 = 98200^2 + 50701^2 .

It is an emirp because it is prime and its reverse (10413831221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12213831401 - 26 = 12213831337 is a prime.

It is not a weakly prime, because it can be changed into another prime (12213831491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6106915700 + 6106915701.

It is an arithmetic number, because the mean of its divisors is an integer number (6106915701).

Almost surely, 212213831401 is an apocalyptic number.

It is an amenable number.

12213831401 is a deficient number, since it is larger than the sum of its proper divisors (1).

12213831401 is an equidigital number, since it uses as much as digits as its factorization.

12213831401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 26.

The spelling of 12213831401 in words is "twelve billion, two hundred thirteen million, eight hundred thirty-one thousand, four hundred one".