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111220212220 = 2251319101222913
BaseRepresentation
bin110011110010100111…
…1011100000111111100
3101122002010110011212021
41213211033130013330
53310234333242340
6123032135045524
711015066130325
oct1474517340774
9348063404767
10111220212220
1143193a01667
121967b5108a4
13a64624a280
14555129544c
152d5e2c6e4a
hex19e53dc1fc

111220212220 has 96 divisors (see below), whose sum is σ = 267389801280. Its totient is φ = 38519193600.

The previous prime is 111220212203. The next prime is 111220212221. The reversal of 111220212220 is 22212022111.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 111220212194 and 111220212203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111220212221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 387484 + ... + 610396.

It is an arithmetic number, because the mean of its divisors is an integer number (2785310430).

Almost surely, 2111220212220 is an apocalyptic number.

111220212220 is a gapful number since it is divisible by the number (10) 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 111220212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133694900640).

111220212220 is an abundant number, since it is smaller than the sum of its proper divisors (156169589060).

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

111220212220 is a wasteful number, since it uses less digits than its factorization.

111220212220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223055 (or 223053 counting only the distinct ones).

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

Adding to 111220212220 its reverse (22212022111), we get a palindrome (133432234331).

The spelling of 111220212220 in words is "one hundred eleven billion, two hundred twenty million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 95 101 130 190 202 247 260 380 404 494 505 988 1010 1235 1313 1919 2020 2470 2626 3838 4940 5252 6565 7676 9595 13130 19190 24947 26260 38380 49894 99788 124735 222913 249470 445826 498940 891652 1114565 2229130 2897869 4235347 4458260 5795738 8470694 11591476 14489345 16941388 21176735 22514213 28978690 42353470 45028426 55059511 57957380 84706940 90056852 110119022 112571065 220238044 225142130 275297555 292684769 427770047 450284260 550595110 585369538 855540094 1101190220 1170739076 1463423845 1711080188 2138850235 2926847690 4277700470 5561010611 5853695380 8555400940 11122021222 22244042444 27805053055 55610106110 111220212220