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2321332133320 = 235312451313381
BaseRepresentation
bin100001110001111010001…
…011010101110111001000
322012220202121221112100001
4201301322023111313020
5301013042011231240
64534223311452344
7326465526400054
oct41617213256710
98186677845301
102321332133320
11815520521632
12315a815270b4
1313ab92a46875
14804d2ba0c64
15405b334389a
hex21c7a2d5dc8

2321332133320 has 96 divisors (see below), whose sum is σ = 5398515320760. Its totient is φ = 898313932800.

The previous prime is 2321332133279. The next prime is 2321332133399. The reversal of 2321332133320 is 233312331232.

2321332133320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 554181980356 + 1767150152964 = 744434^2 + 1329342^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173473030 + ... + 173486410.

Almost surely, 22321332133320 is an apocalyptic number.

2321332133320 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 2321332133320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2699257660380).

2321332133320 is an abundant number, since it is smaller than the sum of its proper divisors (3077183187440).

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

2321332133320 is a wasteful number, since it uses less digits than its factorization.

2321332133320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17967 (or 17932 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 28.

Adding to 2321332133320 its reverse (233312331232), we get a palindrome (2554644464552).

The spelling of 2321332133320 in words is "two trillion, three hundred twenty-one billion, three hundred thirty-two million, one hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 961 1240 1922 3844 4513 4805 7688 9026 9610 13381 18052 19220 22565 26762 36104 38440 45130 53524 66905 90260 107048 133810 139903 180520 267620 279806 414811 535240 559612 699515 829622 1119224 1399030 1659244 2074055 2798060 3318488 4148110 4336993 5596120 8296220 8673986 12859141 16592440 17347972 21684965 25718282 34695944 43369930 51436564 60388453 64295705 86739860 102873128 120776906 128591410 173479720 241553812 257182820 301942265 483107624 514365640 603884530 1207769060 1872042043 2415538120 3744084086 7488168172 9360210215 14976336344 18720420430 37440840860 58033303333 74881681720 116066606666 232133213332 290166516665 464266426664 580333033330 1160666066660 2321332133320