Search a number
-
+
3233310001120 = 255434331085353
BaseRepresentation
bin101111000011010000010…
…010110100011111100000
3102110002201221012100020201
4233003100102310133200
5410433304330013440
610513210114314544
7452412302355013
oct57032022643740
912402657170221
103233310001120
11103726a226821
12442778b88a54
131a5b90bb86c4
14b26c8c8337a
155918c1bd19a
hex2f0d04b47e0

3233310001120 has 96 divisors (see below), whose sum is σ = 7834397753952. Its totient is φ = 1260328108032.

The previous prime is 3233310001093. The next prime is 3233310001121. The reversal of 3233310001120 is 211000133323.

It is a super-2 number, since 2×32333100011202 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3233310001121) 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, 2436364 + ... + 3521716.

It is an arithmetic number, because the mean of its divisors is an integer number (81608309937).

Almost surely, 23233310001120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3233310001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3917198876976).

3233310001120 is an abundant number, since it is smaller than the sum of its proper divisors (4601087752832).

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

3233310001120 is a wasteful number, since it uses less digits than its factorization.

3233310001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085844 (or 1085836 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 3233310001120 its reverse (211000133323), we get a palindrome (3444310134443).

The spelling of 3233310001120 in words is "three trillion, two hundred thirty-three billion, three hundred ten million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 80 86 160 172 215 344 430 433 688 860 866 1376 1720 1732 2165 3440 3464 4330 6880 6928 8660 13856 17320 18619 34640 37238 69280 74476 93095 148952 186190 297904 372380 595808 744760 1085353 1489520 2170706 2979040 4341412 5426765 8682824 10853530 17365648 21707060 34731296 43414120 46670179 86828240 93340358 173656480 186680716 233350895 373361432 466701790 469957849 746722864 933403580 939915698 1493445728 1866807160 1879831396 2349789245 3733614320 3759662792 4699578490 7467228640 7519325584 9399156980 15038651168 18798313960 20208187507 37596627920 40416375014 75193255840 80832750028 101040937535 161665500056 202081875070 323331000112 404163750140 646662000224 808327500280 1616655000560 3233310001120