Search a number
-
+
220211200111122 = 23311370725926113
BaseRepresentation
bin110010000100011111101010…
…010110111011001000010010
31001212200222121011100211211000
4302010133222112323020102
5212330420014212023442
62100203343451002430
764245506552555553
oct6204375226731022
91055628534324730
10220211200111122
1164191055628870
12208464a5439416
1395b4a9a0b216c
143c543c964432a
151a6d2ea7b5d4c
hexc847ea5bb212

220211200111122 has 32 divisors (see below), whose sum is σ = 533845333604160. Its totient is φ = 66730666700160.

The previous prime is 220211200111103. The next prime is 220211200111171. The reversal of 220211200111122 is 221111002112022.

220211200111122 is a `hidden beast` number, since 2 + 20 + 211 + 200 + 111 + 122 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 220211200111095 and 220211200111104.

It is an unprimeable number.

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, 185362962463 + ... + 185362963650.

It is an arithmetic number, because the mean of its divisors is an integer number (16682666675130).

Almost surely, 2220211200111122 is an apocalyptic number.

220211200111122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

220211200111122 is an abundant number, since it is smaller than the sum of its proper divisors (313634133493038).

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

220211200111122 is a wasteful number, since it uses less digits than its factorization.

220211200111122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370725926135 (or 370725926129 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 220211200111122 its reverse (221111002112022), we get a palindrome (441322202223144).

The spelling of 220211200111122 in words is "two hundred twenty trillion, two hundred eleven billion, two hundred million, one hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 370725926113 741451852226 1112177778339 2224355556678 3336533335017 4077985187243 6673066670034 8155970374486 10009600005051 12233955561729 20019200010102 24467911123458 36701866685187 73403733370374 110105600055561 220211200111122