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122214441213 = 3259277830899
BaseRepresentation
bin111000111010010001…
…1000110000011111101
3102200110100000212202200
41301310203012003331
54000243344104323
6132051115342113
711554405416144
oct1616443060375
9380410025680
10122214441213
1147915958627
121b829451939
13b6a8c03c07
145cb54a275b
1532a45c6443
hex1c748c60fd

122214441213 has 24 divisors (see below), whose sum is σ = 180172356000. Its totient is φ = 79806091104.

The previous prime is 122214441187. The next prime is 122214441281. The reversal of 122214441213 is 312144412221.

122214441213 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 1 + 4 + 441 + 213 = 666.

It is not a de Polignac number, because 122214441213 - 29 = 122214440701 is a prime.

It is a super-2 number, since 2×1222144412132 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122214441913) 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 in 23 ways as a sum of consecutive naturals, for example, 268363 + ... + 562536.

It is an arithmetic number, because the mean of its divisors is an integer number (7507181500).

Almost surely, 2122214441213 is an apocalyptic number.

It is an amenable number.

122214441213 is a deficient number, since it is larger than the sum of its proper divisors (57957914787).

122214441213 is a wasteful number, since it uses less digits than its factorization.

122214441213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831241 (or 831238 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 122214441213 its reverse (312144412221), we get a palindrome (434358853434).

The spelling of 122214441213 in words is "one hundred twenty-two billion, two hundred fourteen million, four hundred forty-one thousand, two hundred thirteen".

Divisors: 1 3 9 59 177 277 531 831 2493 16343 49029 147087 830899 2492697 7478091 49023041 147069123 230159023 441207369 690477069 2071431207 13579382357 40738147071 122214441213