Search a number
-
+
2133312101220 = 223597701352267
BaseRepresentation
bin11111000010110011010…
…011110101101101100100
321112221110012002021022110
4133002303103311231210
5234423010344214340
64312010254001020
7310061314445136
oct37026323655544
97487405067273
102133312101220
1175280707a653
122a5549aa6170
1312622a6972c1
1475377ba5056
153a75b9d4680
hex1f0b34f5b64

2133312101220 has 96 divisors (see below), whose sum is σ = 6035830028928. Its totient is φ = 562927398912.

The previous prime is 2133312101171. The next prime is 2133312101231. The reversal of 2133312101220 is 221012133312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40789527 + ... + 40841793.

It is an arithmetic number, because the mean of its divisors is an integer number (62873229468).

Almost surely, 22133312101220 is an apocalyptic number.

2133312101220 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 2133312101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3017915014464).

2133312101220 is an abundant number, since it is smaller than the sum of its proper divisors (3902517927708).

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

2133312101220 is a wasteful number, since it uses less digits than its factorization.

2133312101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59389 (or 59387 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 2133312101220 its reverse (221012133312), we get a palindrome (2354324234532).

The spelling of 2133312101220 in words is "two trillion, one hundred thirty-three billion, three hundred twelve million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 97 194 291 388 485 582 970 1164 1455 1940 2910 5820 7013 14026 21039 28052 35065 42078 52267 70130 84156 104534 105195 140260 156801 209068 210390 261335 313602 420780 522670 627204 680261 784005 1045340 1360522 1568010 2040783 2721044 3136020 3401305 4081566 5069899 6802610 8163132 10139798 10203915 13605220 15209697 20279596 20407830 25349495 30419394 40815660 50698990 60838788 76048485 101397980 152096970 304193940 366548471 733096942 1099645413 1466193884 1832742355 2199290826 3665484710 4398581652 5498227065 7330969420 10996454130 21992908260 35555201687 71110403374 106665605061 142220806748 177776008435 213331210122 355552016870 426662420244 533328025305 711104033740 1066656050610 2133312101220