Search a number
-
+
22120011001220 = 22511110719081881
BaseRepresentation
bin1010000011110001101110…
…11001011110110110000100
32220022122121121011212221212
411001320313121132312010
510344403240304014340
6115013443123230552
74442055331141616
oct501706731366604
986278547155855
1022120011001220
1170590535a7360
12259300ab18458
13c45ba60b4962
145668856b8db6
152855d3c8da65
hex141e3765ed84

22120011001220 has 48 divisors (see below), whose sum is σ = 50679517142016. Its totient is φ = 8042912928000.

The previous prime is 22120011001219. The next prime is 22120011001229. The reversal of 22120011001220 is 2210011002122.

It is a junction number, because it is equal to n+sod(n) for n = 22120011001195 and 22120011001204.

It is not an unprimeable number, because it can be changed into a prime (22120011001229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2105321 + ... + 6976560.

It is an arithmetic number, because the mean of its divisors is an integer number (1055823273792).

Almost surely, 222120011001220 is an apocalyptic number.

22120011001220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22120011001220 is an abundant number, since it is smaller than the sum of its proper divisors (28559506140796).

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

22120011001220 is a wasteful number, since it uses less digits than its factorization.

22120011001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9092972 (or 9092970 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 22120011001220 its reverse (2210011002122), we get a palindrome (24330022003342).

The spelling of 22120011001220 in words is "twenty-two trillion, one hundred twenty billion, eleven million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 11071 22142 44284 55355 110710 121781 221420 243562 487124 608905 1217810 2435620 9081881 18163762 36327524 45409405 90818810 99900691 181637620 199801382 399602764 499503455 999006910 1998013820 100545504551 201091009102 402182018204 502727522755 1005455045510 1106000550061 2010910091020 2212001100122 4424002200244 5530002750305 11060005500610 22120011001220