Search a number
-
+
221321113230 = 23571571670853
BaseRepresentation
bin1100111000011111000…
…1000010111010001110
3210011021020201110101210
43032013301002322032
512111231201110410
6245401251315250
721663354264660
oct3160761027216
9704236643353
10221321113230
1185952aa9138
1236a87babb26
1317b41614ac9
14a9d7a22530
155b551a1220
hex3387c42e8e

221321113230 has 64 divisors (see below), whose sum is σ = 607439513088. Its totient is φ = 50555406720.

The previous prime is 221321113213. The next prime is 221321113291. The reversal of 221321113230 is 32311123122.

221321113230 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2213211132302 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 221321113197 and 221321113206.

It is a congruent number.

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, 5517 + ... + 665336.

It is an arithmetic number, because the mean of its divisors is an integer number (9491242392).

Almost surely, 2221321113230 is an apocalyptic number.

221321113230 is an abundant number, since it is smaller than the sum of its proper divisors (386118399858).

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

221321113230 is a wasteful number, since it uses less digits than its factorization.

221321113230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672441.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 221321113230 its reverse (32311123122), we get a palindrome (253632236352).

The spelling of 221321113230 in words is "two hundred twenty-one billion, three hundred twenty-one million, one hundred thirteen thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 1571 3142 4713 7855 9426 10997 15710 21994 23565 32991 47130 54985 65982 109970 164955 329910 670853 1341706 2012559 3354265 4025118 4695971 6708530 9391942 10062795 14087913 20125590 23479855 28175826 46959710 70439565 140879130 1053910063 2107820126 3161730189 5269550315 6323460378 7377370441 10539100630 14754740882 15808650945 22132111323 31617301890 36886852205 44264222646 73773704410 110660556615 221321113230