Search a number
-
+
22101220120200 = 233521313720682407
BaseRepresentation
bin1010000011001110101110…
…10111111101011010001000
32220020212010000211020010120
411001213113113331122020
510344101244322321300
6115001054345343240
74440521560243134
oct501472727753210
986225100736116
1022101220120200
117051090642321
12258b445a97b20
13c441a0075050
145659c1c183c4
15284d842603a0
hex1419d75fd688

22101220120200 has 192 divisors, whose sum is σ = 74322646796160. Its totient is φ = 5400589854720.

The previous prime is 22101220120159. The next prime is 22101220120211. The reversal of 22101220120200 is 202102210122.

22101220120200 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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 22101220120200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9272604 + ... + 11409803.

It is an arithmetic number, because the mean of its divisors is an integer number (387097118730).

Almost surely, 222101220120200 is an apocalyptic number.

22101220120200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22101220120200 is an abundant number, since it is smaller than the sum of its proper divisors (52221426675960).

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

22101220120200 is a wasteful number, since it uses less digits than its factorization.

22101220120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20682576 (or 20682567 counting only the distinct ones).

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

Adding to 22101220120200 its reverse (202102210122), we get a palindrome (22303322330322).

The spelling of 22101220120200 in words is "twenty-two trillion, one hundred one billion, two hundred twenty million, one hundred twenty thousand, two hundred".