Search a number
-
+
21322003200 = 283521110521
BaseRepresentation
bin10011110110111000…
…111111001100000000
32001000222002222201020
4103312320333030000
5322131413100300
613443432305440
71353244015431
oct236670771400
961028088636
1021322003200
119051795653
124170842280
13201a547a54
141063ad3488
1584bd558a0
hex4f6e3f300

21322003200 has 108 divisors (see below), whose sum is σ = 70367116008. Its totient is φ = 5685862400.

The previous prime is 21322003193. The next prime is 21322003223. The reversal of 21322003200 is 230022312.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21322003200.

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, 536061 + ... + 574460.

Almost surely, 221322003200 is an apocalyptic number.

21322003200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21322003200 is an abundant number, since it is smaller than the sum of its proper divisors (49045112808).

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

21322003200 is a wasteful number, since it uses less digits than its factorization.

21322003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110550 (or 1110531 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 21322003200 its reverse (230022312), we get a palindrome (21552025512).

The spelling of 21322003200 in words is "twenty-one billion, three hundred twenty-two million, three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 256 300 320 384 400 480 600 640 768 800 960 1200 1280 1600 1920 2400 3200 3840 4800 6400 9600 19200 1110521 2221042 3331563 4442084 5552605 6663126 8884168 11105210 13326252 16657815 17768336 22210420 26652504 27763025 33315630 35536672 44420840 53305008 55526050 66631260 71073344 83289075 88841680 106610016 111052100 133262520 142146688 166578150 177683360 213220032 222104200 266525040 284293376 333156300 355366720 426440064 444208400 533050080 666312600 710733440 852880128 888416800 1066100160 1332625200 1421466880 1776833600 2132200320 2665250400 3553667200 4264400640 5330500800 7107334400 10661001600 21322003200