Search a number
-
+
21122122200 = 2335283424139
BaseRepresentation
bin10011101010111110…
…100000000111011000
32000112000222222112020
4103222332200013120
5321224230402300
613411532214440
71345266035124
oct235276400730
960460888466
1021122122200
118a59984043
12411590a420
131cb800297a
141045342584
158395218a0
hex4eafa01d8

21122122200 has 96 divisors (see below), whose sum is σ = 66267633600. Its totient is φ = 5564690560.

The previous prime is 21122122193. The next prime is 21122122237. The reversal of 21122122200 is 222122112.

It is a super-2 number, since 2×211221222002 (a number of 21 digits) contains 22 as substring.

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 21122122200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162270 + ... + 261869.

It is an arithmetic number, because the mean of its divisors is an integer number (690287850).

Almost surely, 221122122200 is an apocalyptic number.

21122122200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21122122200 is an abundant number, since it is smaller than the sum of its proper divisors (45145511400).

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

21122122200 is a wasteful number, since it uses less digits than its factorization.

21122122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424241 (or 424232 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 21122122200 its reverse (222122112), we get a palindrome (21344244312).

The spelling of 21122122200 in words is "twenty-one billion, one hundred twenty-two million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 83 100 120 150 166 200 249 300 332 415 498 600 664 830 996 1245 1660 1992 2075 2490 3320 4150 4980 6225 8300 9960 12450 16600 24900 49800 424139 848278 1272417 1696556 2120695 2544834 3393112 4241390 5089668 6362085 8482780 10179336 10603475 12724170 16965560 21206950 25448340 31810425 35203537 42413900 50896680 63620850 70407074 84827800 105610611 127241700 140814148 176017685 211221222 254483400 281628296 352035370 422442444 528053055 704070740 844884888 880088425 1056106110 1408141480 1760176850 2112212220 2640265275 3520353700 4224424440 5280530550 7040707400 10561061100 21122122200