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22134422443122 = 23211111790012339
BaseRepresentation
bin1010000100001100100100…
…11000110001010001110010
32220101000210221211222201100
411002012102120301101302
510400122244121134442
6115024225134345230
74443105423315333
oct502062230612162
986330727758640
1022134422443122
117064179475a20
12259597135b216
13c47361a10082
1456745169428a
15285b7909584c
hex142192631472

22134422443122 has 24 divisors (see below), whose sum is σ = 52317725775120. Its totient is φ = 6707400740280.

The previous prime is 22134422443103. The next prime is 22134422443123.

22134422443122 is a `hidden beast` number, since 2 + 21 + 34 + 42 + 2 + 443 + 122 = 666.

22134422443122 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (22134422443123) 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 11 ways as a sum of consecutive naturals, for example, 55895005972 + ... + 55895006367.

It is an arithmetic number, because the mean of its divisors is an integer number (2179905240630).

Almost surely, 222134422443122 is an apocalyptic number.

22134422443122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22134422443122 is an abundant number, since it is smaller than the sum of its proper divisors (30183303331998).

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

22134422443122 is a wasteful number, since it uses less digits than its factorization.

22134422443122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111790012358 (or 111790012355 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

It can be divided in two parts, 2213442 and 2443122, that added together give a palindrome (4656564).

The spelling of 22134422443122 in words is "twenty-two trillion, one hundred thirty-four billion, four hundred twenty-two million, four hundred forty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 111790012339 223580024678 335370037017 670740074034 1006110111051 1229690135729 2012220222102 2459380271458 3689070407187 7378140814374 11067211221561 22134422443122