Search a number
-
+
133012222101330 = 235111354175723681
BaseRepresentation
bin11110001111100101010010…
…001111111100011101010010
3122102221211210110022122022120
4132033211102033330131102
5114413233012324220310
61150520545443315110
740005546601130205
oct3617452217743522
9572854713278276
10133012222101330
11394221918335a0
1212b027b007ba96
13592acca2718c0
1424bbb7c3a993c
151059e46cd0b70
hex78f9523fc752

133012222101330 has 128 divisors (see below), whose sum is σ = 375107956183296. Its totient is φ = 29759472844800.

The previous prime is 133012222101313. The next prime is 133012222101377. The reversal of 133012222101330 is 33101222210331.

It is a self number, because there is not a number n which added to its sum of digits gives 133012222101330.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20377090 + ... + 26100770.

It is an arithmetic number, because the mean of its divisors is an integer number (2930530907682).

Almost surely, 2133012222101330 is an apocalyptic number.

133012222101330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133012222101330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187553978091648).

133012222101330 is an abundant number, since it is smaller than the sum of its proper divisors (242095734081966).

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

133012222101330 is a wasteful number, since it uses less digits than its factorization.

133012222101330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5729132.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 133012222101330 its reverse (33101222210331), we get a palindrome (166113444311661).

The spelling of 133012222101330 in words is "one hundred thirty-three trillion, twelve billion, two hundred twenty-two million, one hundred one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 65 66 78 110 130 143 165 195 286 330 390 429 715 858 1430 2145 4290 5417 10834 16251 27085 32502 54170 59587 70421 81255 119174 140842 162510 178761 211263 297935 352105 357522 422526 595870 704210 774631 893805 1056315 1549262 1787610 2112630 2323893 3873155 4647786 5723681 7746310 11447362 11619465 17171043 23238930 28618405 34342086 57236810 62960491 74407853 85855215 125920982 148815706 171710430 188881473 223223559 314802455 372039265 377762946 446447118 629604910 744078530 818486383 944407365 1116117795 1636972766 1888814730 2232235590 2455459149 4092431915 4910918298 8184863830 12277295745 24554591490 31005179977 62010359954 93015539931 155025899885 186031079862 310051799770 341056979747 403067339701 465077699655 682113959494 806134679402 930155399310 1023170939241 1209202019103 1705284898735 2015336698505 2046341878482 2418404038206 3410569797470 4030673397010 4433740736711 5115854696205 6046010095515 8867481473422 10231709392410 12092020191030 13301222210133 22168703683555 26602444420266 44337407367110 66506111050665 133012222101330