Search a number
-
+
220022122101100 = 225211200020111001
BaseRepresentation
bin110010000001101111100100…
…011011100011100101101100
31001212000220112222201201220221
4302001233210123203211230
5212314320301224213400
62055540433441021124
764226034203160124
oct6201574433434554
91055026488651827
10220022122101100
1164118948a63370
12208159176247a4
13959ccc67a5c67
143c491add27c84
151a68431121c1a
hexc81be46e396c

220022122101100 has 36 divisors (see below), whose sum is σ = 520852369049208. Its totient is φ = 80008044400000.

The previous prime is 220022122101097. The next prime is 220022122101107. The reversal of 220022122101100 is 1101221220022.

It is a happy number.

220022122101100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (220022122101107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100010054401 + ... + 100010056600.

It is an arithmetic number, because the mean of its divisors is an integer number (14468121362478).

Almost surely, 2220022122101100 is an apocalyptic number.

220022122101100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220022122101100 is an abundant number, since it is smaller than the sum of its proper divisors (300830246948108).

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

220022122101100 is a wasteful number, since it uses less digits than its factorization.

220022122101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200020111026 (or 200020111019 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 220022122101100 its reverse (1101221220022), we get a palindrome (221123343321122).

The spelling of 220022122101100 in words is "two hundred twenty trillion, twenty-two billion, one hundred twenty-two million, one hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 200020111001 400040222002 800080444004 1000100555005 2000201110010 2200221221011 4000402220020 4400442442022 5000502775025 8800884884044 10001005550050 11001106105055 20002011100100 22002212210110 44004424420220 55005530525275 110011061050550 220022122101100