Search a number
-
+
213133312343304 = 233211971247279667
BaseRepresentation
bin110000011101011111110111…
…010111110011110100001000
31000221122100022222211022021100
4300131133313113303310020
5210413434010424441204
62033144031512141400
762615242111315143
oct6035376727636410
91027570288738240
10213133312343304
1161a0236a497781
121baa27b7097860
1391c0501133472
143a8b9c8dc505a
151999147279a39
hexc1d7f75f3d08

213133312343304 has 48 divisors (see below), whose sum is σ = 577284276132720. Its totient is φ = 71038502448480.

The previous prime is 213133312343299. The next prime is 213133312343351. The reversal of 213133312343304 is 403343213331312.

213133312343304 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 3 + 3 + 3 + 1 + 2 + 343 + 304 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 122777922 + ... + 124501745.

It is an arithmetic number, because the mean of its divisors is an integer number (12026755752765).

Almost surely, 2213133312343304 is an apocalyptic number.

213133312343304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

213133312343304 is an abundant number, since it is smaller than the sum of its proper divisors (364150963789416).

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

213133312343304 is a wasteful number, since it uses less digits than its factorization.

213133312343304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247291650 (or 247291643 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 36.

Adding to 213133312343304 its reverse (403343213331312), we get a palindrome (616476525674616).

The spelling of 213133312343304 in words is "two hundred thirteen trillion, one hundred thirty-three billion, three hundred twelve million, three hundred forty-three thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 11971 23942 35913 47884 71826 95768 107739 143652 215478 287304 430956 861912 247279667 494559334 741839001 989118668 1483678002 1978237336 2225517003 2967356004 4451034006 5934712008 8902068012 17804136024 2960184893657 5920369787314 8880554680971 11840739574628 17761109361942 23681479149256 26641664042913 35522218723884 53283328085826 71044437447768 106566656171652 213133312343304