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21113303200 = 25521115115889
BaseRepresentation
bin10011101010011100…
…110111000010100000
32000111102101221010121
4103222130313002200
5321220001200300
613411015210024
71345131054553
oct235234670240
960442357117
1021113303200
118a54a00210
124112976914
131cb6235822
1410440c869a
1583887d81a
hex4ea7370a0

21113303200 has 144 divisors (see below), whose sum is σ = 56604502080. Its totient is φ = 7626240000.

The previous prime is 21113303191. The next prime is 21113303209. The reversal of 21113303200 is 230331112.

It is an interprime number because it is at equal distance from previous prime (21113303191) and next prime (21113303209).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (21113303209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1320856 + ... + 1336744.

It is an arithmetic number, because the mean of its divisors is an integer number (393086820).

Almost surely, 221113303200 is an apocalyptic number.

21113303200 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 21113303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28302251040).

21113303200 is an abundant number, since it is smaller than the sum of its proper divisors (35491198880).

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

21113303200 is a wasteful number, since it uses less digits than its factorization.

21113303200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16071 (or 16058 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 21113303200 its reverse (230331112), we get a palindrome (21343634312).

The spelling of 21113303200 in words is "twenty-one billion, one hundred thirteen million, three hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 151 160 176 200 220 275 302 352 400 440 550 604 755 800 880 1100 1208 1510 1661 1760 2200 2416 3020 3322 3775 4400 4832 6040 6644 7550 8305 8800 12080 13288 15100 15889 16610 24160 26576 30200 31778 33220 41525 53152 60400 63556 66440 79445 83050 120800 127112 132880 158890 166100 174779 254224 265760 317780 332200 349558 397225 508448 635560 664400 699116 794450 873895 1271120 1328800 1398232 1588900 1747790 2399239 2542240 2796464 3177800 3495580 4369475 4798478 5592928 6355600 6991160 8738950 9596956 11996195 12711200 13982320 17477900 19193912 23992390 26391629 27964640 34955800 38387824 47984780 52783258 59980975 69911600 76775648 95969560 105566516 119961950 131958145 139823200 191939120 211133032 239923900 263916290 383878240 422266064 479847800 527832580 659790725 844532128 959695600 1055665160 1319581450 1919391200 2111330320 2639162900 4222660640 5278325800 10556651600 21113303200