Search a number
-
+
133222031231320 = 235191671815799191
BaseRepresentation
bin11110010010101000101011…
…110110010000100101011000
3122110200220100102012202111201
4132102220223312100211120
5114430202204443400240
61151201204541203544
740026655061245633
oct3622505366204530
9573626312182451
10133222031231320
11394a31675a2299
1212b373a48605b4
135944a2586c7b5
1424c7da3126c1a
1510606264add9a
hex792a2bd90958

133222031231320 has 128 divisors (see below), whose sum is σ = 319168970265600. Its totient is φ = 49904581593600.

The previous prime is 133222031231273. The next prime is 133222031231321. The reversal of 133222031231320 is 23132130222331.

It is a happy number.

133222031231320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133222031231321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20072925 + ... + 25872115.

It is an arithmetic number, because the mean of its divisors is an integer number (2493507580200).

Almost surely, 2133222031231320 is an apocalyptic number.

133222031231320 is a gapful number since it is divisible by the number (10) 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 133222031231320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159584485132800).

133222031231320 is an abundant number, since it is smaller than the sum of its proper divisors (185946939034280).

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

133222031231320 is a wasteful number, since it uses less digits than its factorization.

133222031231320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5799569 (or 5799565 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 133222031231320 its reverse (23132130222331), we get a palindrome (156354161453651).

The spelling of 133222031231320 in words is "one hundred thirty-three trillion, two hundred twenty-two billion, thirty-one million, two hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 167 181 190 334 362 380 668 724 760 835 905 1336 1448 1670 1810 3173 3340 3439 3620 6346 6680 6878 7240 12692 13756 15865 17195 25384 27512 30227 31730 34390 60454 63460 68780 120908 126920 137560 151135 241816 302270 574313 604540 1148626 1209080 2297252 2871565 4594504 5743130 5799191 11486260 11598382 22972520 23196764 28995955 46393528 57991910 110184629 115983820 220369258 231967640 440738516 550923145 881477032 968464897 1049653571 1101846290 1936929794 2099307142 2203692580 3873859588 4198614284 4407385160 4842324485 5248267855 7747719176 8397228568 9684648970 10496535710 18400833043 19369297940 19943417849 20993071420 36801666086 38738595880 39886835698 41986142840 73603332172 79773671396 92004165215 99717089245 147206664344 159547342792 175292146357 184008330430 199434178490 350584292714 368016660860 398868356980 701168585428 736033321720 797736713960 876460731785 1402337170856 1752921463570 3330550780783 3505842927140 6661101561566 7011685854280 13322203123132 16652753903915 26644406246264 33305507807830 66611015615660 133222031231320