Search a number
-
+
221320211120 = 2455328771123
BaseRepresentation
bin1100111000011110110…
…1100110101010110000
3210011021012000121221022
43032013231212222300
512111230433223440
6245401220115012
721663343516631
oct3160755465260
9704235017838
10221320211120
1185952542398
1236a87835a68
1317b4138a308
14a9d7869888
155b55073cb5
hex3387b66ab0

221320211120 has 120 divisors (see below), whose sum is σ = 525527103696. Its totient is φ = 86681447424.

The previous prime is 221320211087. The next prime is 221320211131. The reversal of 221320211120 is 21112023122.

221320211120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197078879 + ... + 197080001.

Almost surely, 2221320211120 is an apocalyptic number.

221320211120 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 221320211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262763551848).

221320211120 is an abundant number, since it is smaller than the sum of its proper divisors (304206892576).

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

221320211120 is a wasteful number, since it uses less digits than its factorization.

221320211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2119 (or 2060 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 221320211120 its reverse (21112023122), we get a palindrome (242432234242).

The spelling of 221320211120 in words is "two hundred twenty-one billion, three hundred twenty million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 877 1060 1123 1754 2120 2246 2809 3508 4240 4385 4492 5615 5618 7016 8770 8984 11230 11236 14032 14045 17540 17968 22460 22472 28090 35080 44920 44944 46481 56180 59519 70160 89840 92962 112360 119038 185924 224720 232405 238076 297595 371848 464810 476152 595190 743696 929620 952304 984871 1190380 1859240 1969742 2380760 2463493 3154507 3718480 3939484 4761520 4924355 4926986 6309014 7878968 9848710 9853972 12317465 12618028 15757936 15772535 19697420 19707944 24634930 25236056 31545070 39394840 39415888 49269860 50472112 52198163 63090140 78789680 98539720 104396326 126180280 197079440 208792652 252360560 260990815 417585304 521981630 835170608 1043963260 2087926520 2766502639 4175853040 5533005278 11066010556 13832513195 22132021112 27665026390 44264042224 55330052780 110660105560 221320211120