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2212132312122 = 233792503388651
BaseRepresentation
bin100000001100001101010…
…111000101010000111010
321211110220022012211220220
4200030031113011100322
5242220421332441442
64412123424400510
7315551462256315
oct40141527052072
97743808184826
102212132312122
11783184024717
122b8886776136
131307ac263055
14790d3d9197c
153c82160aeec
hex2030d5c543a

2212132312122 has 32 divisors (see below), whose sum is σ = 4437721812480. Its totient is φ = 735136138800.

The previous prime is 2212132312111. The next prime is 2212132312129.

2212132312122 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2212132312092 and 2212132312101.

It is not an unprimeable number, because it can be changed into a prime (2212132312129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5497497 + ... + 5886147.

It is an arithmetic number, because the mean of its divisors is an integer number (138678806640).

Almost surely, 22212132312122 is an apocalyptic number.

2212132312122 is an abundant number, since it is smaller than the sum of its proper divisors (2225589500358).

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

2212132312122 is a wasteful number, since it uses less digits than its factorization.

2212132312122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391538.

The product of its digits is 1152, while the sum is 24.

The spelling of 2212132312122 in words is "two trillion, two hundred twelve billion, one hundred thirty-two million, three hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 379 758 1137 2274 2503 5006 7509 15018 388651 777302 948637 1165953 1897274 2331906 2845911 5691822 147298729 294597458 441896187 883792374 972793453 1945586906 2918380359 5836760718 368688718687 737377437374 1106066156061 2212132312122