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231211222133 is a prime number
BaseRepresentation
bin1101011101010101000…
…0110100010001110101
3211002210111201001021112
43113111100310101311
512242010033102013
6254114510524405
722463425650503
oct3272520642165
9732714631245
10231211222133
118a068786361
1238988206705
1318a59607658
14b29533b673
1560335a3ba8
hex35d5434475

231211222133 has 2 divisors, whose sum is σ = 231211222134. Its totient is φ = 231211222132.

The previous prime is 231211222103. The next prime is 231211222139. The reversal of 231211222133 is 331222112132.

231211222133 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., 218632926724 + 12578295409 = 467582^2 + 112153^2 .

It is a cyclic number.

It is not a de Polignac number, because 231211222133 - 216 = 231211156597 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 231211222099 and 231211222108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (231211222139) 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, 115605611066 + 115605611067.

It is an arithmetic number, because the mean of its divisors is an integer number (115605611067).

Almost surely, 2231211222133 is an apocalyptic number.

It is an amenable number.

231211222133 is a deficient number, since it is larger than the sum of its proper divisors (1).

231211222133 is an equidigital number, since it uses as much as digits as its factorization.

231211222133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 864, while the sum is 23.

Adding to 231211222133 its reverse (331222112132), we get a palindrome (562433334265).

The spelling of 231211222133 in words is "two hundred thirty-one billion, two hundred eleven million, two hundred twenty-two thousand, one hundred thirty-three".