Search a number
-
+
21002111200 = 255274398543
BaseRepresentation
bin10011100011110100…
…101100100011100000
32000012200011210101101
4103203310230203200
5321003020024300
613352004044144
71342310666620
oct234364544340
960180153341
1021002111200
1189a8164aa4
1240a1693654
131c991a3a45
141033422880
1582dc17b6a
hex4e3d2c8e0

21002111200 has 144 divisors (see below), whose sum is σ = 58736240640. Its totient is φ = 7183480320.

The previous prime is 21002111173. The next prime is 21002111201. The reversal of 21002111200 is 211120012.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21002111201) 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, 2454129 + ... + 2462671.

It is an arithmetic number, because the mean of its divisors is an integer number (407890560).

Almost surely, 221002111200 is an apocalyptic number.

21002111200 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 21002111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29368120320).

21002111200 is an abundant number, since it is smaller than the sum of its proper divisors (37734129440).

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

21002111200 is a wasteful number, since it uses less digits than its factorization.

21002111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9009 (or 8996 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 21002111200 its reverse (211120012), we get a palindrome (21213231212).

The spelling of 21002111200 in words is "twenty-one billion, two million, one hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 140 160 175 200 224 280 350 400 439 560 700 800 878 1120 1400 1756 2195 2800 3073 3512 4390 5600 6146 7024 8543 8780 10975 12292 14048 15365 17086 17560 21950 24584 30730 34172 35120 42715 43900 49168 59801 61460 68344 70240 76825 85430 87800 98336 119602 122920 136688 153650 170860 175600 213575 239204 245840 273376 299005 307300 341720 351200 427150 478408 491680 598010 614600 683440 854300 956816 1196020 1229200 1366880 1495025 1708600 1913632 2392040 2458400 2990050 3417200 3750377 4784080 5980100 6834400 7500754 9568160 11960200 15001508 18751885 23920400 26252639 30003016 37503770 47840800 52505278 60006032 75007540 93759425 105010556 120012064 131263195 150015080 187518850 210021112 262526390 300030160 375037700 420042224 525052780 600060320 656315975 750075400 840084448 1050105560 1312631950 1500150800 2100211120 2625263900 3000301600 4200422240 5250527800 10501055600 21002111200