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22141211113120 = 2551143149159447
BaseRepresentation
bin1010000100011001001110…
…00001011111011010100000
32220101200100001221011020111
411002030213001133122200
510400230200021104440
6115031310523221104
74443435565131211
oct502144701373240
986350301834214
1022141211113120
1170670424a91a0
122597146977794
13c47ba42c2978
145678d711d408
15285e250684ea
hex14232705f6a0

22141211113120 has 192 divisors, whose sum is σ = 57313792069632. Its totient is φ = 8016174208000.

The previous prime is 22141211113051. The next prime is 22141211113141. The reversal of 22141211113120 is 2131111214122.

It is a super-2 number, since 2×221412111131202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 22141211113091 and 22141211113100.

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 31 ways as a sum of consecutive naturals, for example, 372423237 + ... + 372482683.

It is an arithmetic number, because the mean of its divisors is an integer number (298509333696).

Almost surely, 222141211113120 is an apocalyptic number.

22141211113120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22141211113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28656896034816).

22141211113120 is an abundant number, since it is smaller than the sum of its proper divisors (35172580956512).

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

22141211113120 is a wasteful number, since it uses less digits than its factorization.

22141211113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60395 (or 60387 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 22.

Adding to 22141211113120 its reverse (2131111214122), we get a palindrome (24272322327242).

The spelling of 22141211113120 in words is "twenty-two trillion, one hundred forty-one billion, two hundred eleven million, one hundred thirteen thousand, one hundred twenty".