Search a number
-
+
2203113300320 = 255223313197273
BaseRepresentation
bin100000000011110011110…
…010010010000101100000
321210121121202100120121202
4200003303302102011200
5242043434001102240
64404032443540332
7315112126033262
oct40036362220540
97717552316552
102203113300320
1177a376028659
122b6b8a22a6a8
1312c9a288738a
14788ba22bb32
153c494926315
hex200f3c92160

2203113300320 has 96 divisors (see below), whose sum is σ = 5244925416192. Its totient is φ = 874486259712.

The previous prime is 2203113300277. The next prime is 2203113300329. The reversal of 2203113300320 is 230033113022.

It is a super-3 number, since 3×22031133003203 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2203113300292 and 2203113300301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2203113300329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11069204 + ... + 11266476.

It is an arithmetic number, because the mean of its divisors is an integer number (54634639752).

Almost surely, 22203113300320 is an apocalyptic number.

2203113300320 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 2203113300320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2622462708096).

2203113300320 is an abundant number, since it is smaller than the sum of its proper divisors (3041812115872).

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

2203113300320 is a wasteful number, since it uses less digits than its factorization.

2203113300320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197824 (or 197816 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 2203113300320 its reverse (230033113022), we get a palindrome (2433146413342).

The spelling of 2203113300320 in words is "two trillion, two hundred three billion, one hundred thirteen million, three hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 223 313 446 626 892 1115 1252 1565 1784 2230 2504 3130 3568 4460 5008 6260 7136 8920 10016 12520 17840 25040 35680 50080 69799 139598 197273 279196 348995 394546 558392 697990 789092 986365 1116784 1395980 1578184 1972730 2233568 2791960 3156368 3945460 5583920 6312736 7890920 11167840 15781840 31563680 43991879 61746449 87983758 123492898 175967516 219959395 246985796 308732245 351935032 439918790 493971592 617464490 703870064 879837580 987943184 1234928980 1407740128 1759675160 1975886368 2469857960 3519350320 4939715920 7038700640 9879431840 13769458127 27538916254 55077832508 68847290635 110155665016 137694581270 220311330032 275389162540 440622660064 550778325080 1101556650160 2203113300320