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442200133122 = 231126212556277
BaseRepresentation
bin1100110111101010010…
…11101000111000000010
31120021101200120020202020
412123311023220320002
524221111213224442
6535051031302310
743643063054046
oct6336513507002
91507350506666
10442200133122
111605994a0a80
127184bb1a996
133291246aa07
141758ca44026
15b7816269ec
hex66f52e8e02

442200133122 has 32 divisors (see below), whose sum is σ = 965168771904. Its totient is φ = 133948862400.

The previous prime is 442200133103. The next prime is 442200133189. The reversal of 442200133122 is 221331002244.

It is a happy number.

It is a super-2 number, since 2×4422001331222 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 442200133092 and 442200133101.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1105153 + ... + 1451124.

It is an arithmetic number, because the mean of its divisors is an integer number (30161524122).

Almost surely, 2442200133122 is an apocalyptic number.

442200133122 is an abundant number, since it is smaller than the sum of its proper divisors (522968638782).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

442200133122 is a wasteful number, since it uses less digits than its factorization.

442200133122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2558914.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 442200133122 its reverse (221331002244), we get a palindrome (663531135366).

The spelling of 442200133122 in words is "four hundred forty-two billion, two hundred million, one hundred thirty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 2621 5242 7863 15726 28831 57662 86493 172986 2556277 5112554 7668831 15337662 28119047 56238094 84357141 168714282 6700002017 13400004034 20100006051 40200012102 73700022187 147400044374 221100066561 442200133122