Search a number
-
+
21231013320 = 23325112487397
BaseRepresentation
bin10011110001011101…
…111000110111001000
32000210121220020001200
4103301131320313020
5321440114411240
613430422144200
71351060431006
oct236135706710
960717806050
1021231013320
119005398600
124146282060
13200473a39a
1410559a9a76
15843d80930
hex4f1778dc8

21231013320 has 144 divisors (see below), whose sum is σ = 75844002780. Its totient is φ = 5146901760.

The previous prime is 21231013319. The next prime is 21231013333. The reversal of 21231013320 is 2331013212.

21231013320 is a `hidden beast` number, since 21 + 2 + 310 + 1 + 332 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17406580356 + 3824432964 = 131934^2 + 61842^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21231013293 and 21231013302.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 200139 + ... + 287258.

Almost surely, 221231013320 is an apocalyptic number.

21231013320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21231013320 is an abundant number, since it is smaller than the sum of its proper divisors (54612989460).

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

21231013320 is a wasteful number, since it uses less digits than its factorization.

21231013320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487436 (or 487418 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 21231013320 its reverse (2331013212), we get a palindrome (23562026532).

The spelling of 21231013320 in words is "twenty-one billion, two hundred thirty-one million, thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 121 132 165 180 198 220 242 264 330 360 363 396 440 484 495 605 660 726 792 968 990 1089 1210 1320 1452 1815 1980 2178 2420 2904 3630 3960 4356 4840 5445 7260 8712 10890 14520 21780 43560 487397 974794 1462191 1949588 2436985 2924382 3899176 4386573 4873970 5361367 5848764 7310955 8773146 9747940 10722734 11697528 14621910 16084101 17546292 19495880 21445468 21932865 26806835 29243820 32168202 35092584 42890936 43865730 48252303 53613670 58487640 58975037 64336404 80420505 87731460 96504606 107227340 117950074 128672808 160841010 175462920 176925111 193009212 214454680 235900148 241261515 294875185 321682020 353850222 386018424 471800296 482523030 530775333 589750370 643364040 707700444 884625555 965046060 1061550666 1179500740 1415400888 1769251110 1930092120 2123101332 2359001480 2653876665 3538502220 4246202664 5307753330 7077004440 10615506660 21231013320