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113221211221 is a prime number
BaseRepresentation
bin110100101110010000…
…0101001010001010101
3101211020120200110110101
41221130200221101111
53323334112224341
6124002455254101
711115504262546
oct1513440512125
9354216613411
10113221211221
1144020470848
1219b3967a331
13a8a4984251
1456a0d304cd
152e29cd5831
hex1a5c829455

113221211221 has 2 divisors, whose sum is σ = 113221211222. Its totient is φ = 113221211220.

The previous prime is 113221211219. The next prime is 113221211239. The reversal of 113221211221 is 122112122311.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 64358108721 + 48863102500 = 253689^2 + 221050^2 .

It is a cyclic number.

It is not a de Polignac number, because 113221211221 - 21 = 113221211219 is a prime.

Together with 113221211219, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113221211251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56610605610 + 56610605611.

It is an arithmetic number, because the mean of its divisors is an integer number (56610605611).

Almost surely, 2113221211221 is an apocalyptic number.

It is an amenable number.

113221211221 is a deficient number, since it is larger than the sum of its proper divisors (1).

113221211221 is an equidigital number, since it uses as much as digits as its factorization.

113221211221 is an evil number, because the sum of its binary digits is even.

The product of its digits is 96, while the sum is 19.

Adding to 113221211221 its reverse (122112122311), we get a palindrome (235333333532).

The spelling of 113221211221 in words is "one hundred thirteen billion, two hundred twenty-one million, two hundred eleven thousand, two hundred twenty-one".