Search a number
-
+
2331231330320 = 245101613147059
BaseRepresentation
bin100001111011001000001…
…101110010000000010000
322020212022112000211201222
4201323020031302000100
5301143330210032240
64542541453544212
7330266041233524
oct41731015620020
98225275024658
102331231330320
11819740346882
123179847a5068
1313baac89bb99
1480b917a3d84
154099243deb5
hex21ec8372010

2331231330320 has 80 divisors (see below), whose sum is σ = 5474786466240. Its totient is φ = 923089728000.

The previous prime is 2331231330301. The next prime is 2331231330349. The reversal of 2331231330320 is 230331321332.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 2331231330320.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49514951 + ... + 49562009.

It is an arithmetic number, because the mean of its divisors is an integer number (68434830828).

Almost surely, 22331231330320 is an apocalyptic number.

2331231330320 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 2331231330320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2737393233120).

2331231330320 is an abundant number, since it is smaller than the sum of its proper divisors (3143555135920).

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

2331231330320 is a wasteful number, since it uses less digits than its factorization.

2331231330320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53304 (or 53298 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 26.

Adding to 2331231330320 its reverse (230331321332), we get a palindrome (2561562651652).

The spelling of 2331231330320 in words is "two trillion, three hundred thirty-one billion, two hundred thirty-one million, three hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 404 505 808 1010 1616 2020 4040 6131 8080 12262 24524 30655 47059 49048 61310 94118 98096 122620 188236 235295 245240 376472 470590 490480 619231 752944 941180 1238462 1882360 2476924 3096155 3764720 4752959 4953848 6192310 9505918 9907696 12384620 19011836 23764795 24769240 38023672 47529590 49538480 76047344 95059180 190118360 288518729 380236720 577037458 1154074916 1442593645 2308149832 2885187290 4616299664 5770374580 11540749160 23081498320 29140391629 58280783258 116561566516 145701958145 233123133032 291403916290 466246266064 582807832580 1165615665160 2331231330320