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122332144113 = 3229468705533
BaseRepresentation
bin111000111101110010…
…0000110000111110001
3102200202112111210210100
41301323210012013301
54001014012102423
6132110522223013
711560335032244
oct1617344060761
9380675453710
10122332144113
1147976340553
121b860954a69
13b6c74053ba
145cc6d8125b
1532aeac6343
hex1c7b9061f1

122332144113 has 12 divisors (see below), whose sum is σ = 182795158260. Its totient is φ = 78742529376.

The previous prime is 122332144093. The next prime is 122332144163. The reversal of 122332144113 is 311441233221.

122332144113 is a `hidden beast` number, since 1 + 2 + 2 + 33 + 214 + 411 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 100979043984 + 21353100129 = 317772^2 + 146127^2 .

It is not a de Polignac number, because 122332144113 - 212 = 122332140017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122332144163) 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 11 ways as a sum of consecutive naturals, for example, 234352506 + ... + 234353027.

It is an arithmetic number, because the mean of its divisors is an integer number (15232929855).

Almost surely, 2122332144113 is an apocalyptic number.

It is an amenable number.

122332144113 is a deficient number, since it is larger than the sum of its proper divisors (60463014147).

122332144113 is a wasteful number, since it uses less digits than its factorization.

122332144113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468705568 (or 468705565 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 122332144113 its reverse (311441233221), we get a palindrome (433773377334).

The spelling of 122332144113 in words is "one hundred twenty-two billion, three hundred thirty-two million, one hundred forty-four thousand, one hundred thirteen".

Divisors: 1 3 9 29 87 261 468705533 1406116599 4218349797 13592460457 40777381371 122332144113