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22132141041330 = 232517372411622233
BaseRepresentation
bin1010000100001000010100…
…11001111010011010110010
32220100210220221222202210200
411002010022121322122302
510400103111101310310
6115023210520140030
74442665041604215
oct502041231723262
986323827882720
1022132141041330
1170632086a7aa1
122595435307616
13c4708a17a298
145672b66a777c
15285a93b499c0
hex14210a67a6b2

22132141041330 has 192 divisors, whose sum is σ = 62834884995168. Its totient is φ = 5382176440320.

The previous prime is 22132141041299. The next prime is 22132141041359. The reversal of 22132141041330 is 3314014123122.

22132141041330 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 214 + 1 + 0 + 413 + 30 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 9635753430801 + 12496387610529 = 3104151^2 + 3535023^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 22132141041294 and 22132141041303.

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 95 ways as a sum of consecutive naturals, for example, 12831894 + ... + 14454126.

Almost surely, 222132141041330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22132141041330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31417442497584).

22132141041330 is an abundant number, since it is smaller than the sum of its proper divisors (40702743953838).

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

22132141041330 is a wasteful number, since it uses less digits than its factorization.

22132141041330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622541 (or 1622538 counting only the distinct ones).

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

Adding to 22132141041330 its reverse (3314014123122), we get a palindrome (25446155164452).

The spelling of 22132141041330 in words is "twenty-two trillion, one hundred thirty-two billion, one hundred forty-one million, forty-one thousand, three hundred thirty".