Search a number
-
+
21104231200 = 25521310918617
BaseRepresentation
bin10011101001111010…
…010000001100100000
32000110210100000200121
4103221322100030200
5321210140344300
613410052530024
71344661001563
oct235172201440
960423300617
1021104231200
118a4a874298
12410b920914
131cb43aa490
141042c064da
15837b8a81a
hex4e9e90320

21104231200 has 144 divisors (see below), whose sum is σ = 55995869160. Its totient is φ = 7720427520.

The previous prime is 21104231189. The next prime is 21104231201. The reversal of 21104231200 is 213240112.

It can be written as a sum of positive squares in 12 ways, for example, as 4307034384 + 16797196816 = 65628^2 + 129604^2 .

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 (21104231201) 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, 1124292 + ... + 1142908.

Almost surely, 221104231200 is an apocalyptic number.

21104231200 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 21104231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27997934580).

21104231200 is an abundant number, since it is smaller than the sum of its proper divisors (34891637960).

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

21104231200 is a wasteful number, since it uses less digits than its factorization.

21104231200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18759 (or 18746 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 21104231200 its reverse (213240112), we get a palindrome (21317471312).

It can be divided in two parts, 211042 and 31200, that added together give a palindrome (242242).

The spelling of 21104231200 in words is "twenty-one billion, one hundred four million, two hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 109 130 160 200 208 218 260 325 400 416 436 520 545 650 800 872 1040 1090 1300 1417 1744 2080 2180 2600 2725 2834 3488 4360 5200 5450 5668 7085 8720 10400 10900 11336 14170 17440 18617 21800 22672 28340 35425 37234 43600 45344 56680 70850 74468 87200 93085 113360 141700 148936 186170 226720 242021 283400 297872 372340 465425 484042 566800 595744 744680 930850 968084 1133600 1210105 1489360 1861700 1936168 2029253 2420210 2978720 3723400 3872336 4058506 4840420 6050525 7446800 7744672 8117012 9680840 10146265 12101050 14893600 16234024 19361680 20292530 24202100 26380289 32468048 38723360 40585060 48404200 50731325 52760578 64936096 81170120 96808400 101462650 105521156 131901445 162340240 193616800 202925300 211042312 263802890 324680480 405850600 422084624 527605780 659507225 811701200 844169248 1055211560 1319014450 1623402400 2110423120 2638028900 4220846240 5276057800 10552115600 21104231200