Search a number
-
+
21001341200 = 245273153071
BaseRepresentation
bin10011100011110001…
…110000100100010000
32000012121201200010212
4103203301300210100
5321002320404300
613351535343252
71342301312000
oct234361604420
960177650125
1021001341200
1189a7789534
1240a1381b28
131c98c94418
1410332a2000
1582db14935
hex4e3c70910

21001341200 has 120 divisors (see below), whose sum is σ = 58840876800. Its totient is φ = 7200412800.

The previous prime is 21001341197. The next prime is 21001341203. The reversal of 21001341200 is 214310012.

It is an interprime number because it is at equal distance from previous prime (21001341197) and next prime (21001341203).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (21001341203) 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, 60665 + ... + 213735.

It is an arithmetic number, because the mean of its divisors is an integer number (490340640).

Almost surely, 221001341200 is an apocalyptic number.

21001341200 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 21001341200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29420438400).

21001341200 is an abundant number, since it is smaller than the sum of its proper divisors (37839535600).

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

21001341200 is a wasteful number, since it uses less digits than its factorization.

21001341200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153110 (or 153085 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 21001341200 its reverse (214310012), we get a palindrome (21215651212).

The spelling of 21001341200 in words is "twenty-one billion, one million, three hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 49 50 56 70 80 98 100 112 140 175 196 200 245 280 343 350 392 400 490 560 686 700 784 980 1225 1372 1400 1715 1960 2450 2744 2800 3430 3920 4900 5488 6860 8575 9800 13720 17150 19600 27440 34300 68600 137200 153071 306142 612284 765355 1071497 1224568 1530710 2142994 2449136 3061420 3826775 4285988 5357485 6122840 7500479 7653550 8571976 10714970 12245680 15000958 15307100 17143952 21429940 26787425 30001916 30614200 37502395 42859880 52503353 53574850 60003832 61228400 75004790 85719760 105006706 107149700 120007664 150009580 187511975 210013412 214299400 262516765 300019160 375023950 420026824 428598800 525033530 600038320 750047900 840053648 1050067060 1312583825 1500095800 2100134120 2625167650 3000191600 4200268240 5250335300 10500670600 21001341200