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233201321320 = 235112332274691
BaseRepresentation
bin1101100100101111100…
…0011100010101101000
3211021221012102120010211
43121023320130111220
512310044014240240
6255044201350504
722563642345112
oct3311370342550
9737835376124
10233201321320
118a99a080330
1239242798434
1318cb59c6336
14b40377a3b2
1560ed15cbea
hex364be1c568

233201321320 has 64 divisors (see below), whose sum is σ = 574860162240. Its totient is φ = 84436492800.

The previous prime is 233201321303. The next prime is 233201321321. The reversal of 233201321320 is 23123102332.

233201321320 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 (22).

It is a junction number, because it is equal to n+sod(n) for n = 233201321291 and 233201321300.

It is not an unprimeable number, because it can be changed into a prime (233201321321) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1034826 + ... + 1239865.

It is an arithmetic number, because the mean of its divisors is an integer number (8982190035).

Almost surely, 2233201321320 is an apocalyptic number.

233201321320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233201321320 is an abundant number, since it is smaller than the sum of its proper divisors (341658840920).

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

233201321320 is a wasteful number, since it uses less digits than its factorization.

233201321320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2274946 (or 2274942 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 233201321320 its reverse (23123102332), we get a palindrome (256324423652).

The spelling of 233201321320 in words is "two hundred thirty-three billion, two hundred one million, three hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 233 440 466 932 1165 1864 2330 2563 4660 5126 9320 10252 12815 20504 25630 51260 102520 2274691 4549382 9098764 11373455 18197528 22746910 25021601 45493820 50043202 90987640 100086404 125108005 200172808 250216010 500432020 530003003 1000864040 1060006006 2120012012 2650015015 4240024024 5300030030 5830033033 10600060060 11660066066 21200120120 23320132132 29150165165 46640264264 58300330330 116600660660 233201321320