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231301222002 = 23431193323827
BaseRepresentation
bin1101011101101010100…
…0001000111001110010
3211010000210001111220000
43113122220020321302
512242201103101002
6254131443530430
722465600643004
oct3273250107162
9733023044800
10231301222002
118a104567614
12389b2389a16
1318a72159506
14b2a3288374
15603b43061c
hex35daa08e72

231301222002 has 80 divisors (see below), whose sum is σ = 535304216832. Its totient is φ = 74571567840.

The previous prime is 231301221967. The next prime is 231301222021. The reversal of 231301222002 is 200222103132.

231301222002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 39 ways as a sum of consecutive naturals, for example, 9695613 + ... + 9719439.

Almost surely, 2231301222002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231301222002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267652108416).

231301222002 is an abundant number, since it is smaller than the sum of its proper divisors (304002994830).

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

231301222002 is a wasteful number, since it uses less digits than its factorization.

231301222002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25805 (or 25796 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 231301222002 its reverse (200222103132), we get a palindrome (431523325134).

The spelling of 231301222002 in words is "two hundred thirty-one billion, three hundred one million, two hundred twenty-two thousand, two".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 162 186 279 558 837 1674 1933 2511 3866 5022 5799 11598 17397 23827 34794 47654 52191 59923 71481 104382 119846 142962 156573 179769 214443 313146 359538 428886 539307 643329 738637 1078614 1286658 1477274 1617921 1929987 2215911 3235842 3859974 4431822 4853763 6647733 9707526 13295466 19943199 39886398 46057591 59829597 92115182 119659194 138172773 276345546 414518319 829036638 1243554957 1427785321 2487109914 2855570642 3730664871 4283355963 7461329742 8566711926 12850067889 25700135778 38550203667 77100407334 115650611001 231301222002