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111021220 = 225175361101
BaseRepresentation
bin1101001111000…
…00110010100100
321201220110111001
412213200302210
5211410134340
615003323044
72515444012
oct647406244
9251813431
10111021220
1157739982
1231220484
131a00213b
1410a5d8b2
159b3029a
hex69e0ca4

111021220 has 96 divisors (see below), whose sum is σ = 258170976. Its totient is φ = 39936000.

The previous prime is 111021151. The next prime is 111021223. The reversal of 111021220 is 22120111.

It can be written as a sum of positive squares in 16 ways, for example, as 4848804 + 106172416 = 2202^2 + 10304^2 .

It is a super-2 number, since 2×1110212202 = 24651422580576800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 111021197 and 111021206.

It is not an unprimeable number, because it can be changed into a prime (111021223) 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, 1099170 + ... + 1099270.

It is an arithmetic number, because the mean of its divisors is an integer number (2689281).

Almost surely, 2111021220 is an apocalyptic number.

111021220 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 111021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129085488).

111021220 is an abundant number, since it is smaller than the sum of its proper divisors (147149756).

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

111021220 is a wasteful number, since it uses less digits than its factorization.

111021220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 111021220 is about 10536.6607613608. The cubic root of 111021220 is about 480.6201763751.

Adding to 111021220 its reverse (22120111), we get a palindrome (133141331).

The spelling of 111021220 in words is "one hundred eleven million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 53 61 68 85 101 106 122 170 202 212 244 265 305 340 404 505 530 610 901 1010 1037 1060 1220 1717 1802 2020 2074 3233 3434 3604 4148 4505 5185 5353 6161 6466 6868 8585 9010 10370 10706 12322 12932 16165 17170 18020 20740 21412 24644 26765 30805 32330 34340 53530 54961 61610 64660 91001 104737 107060 109922 123220 182002 209474 219844 274805 326533 364004 418948 455005 523685 549610 653066 910010 1047370 1099220 1306132 1632665 1820020 2094740 3265330 5551061 6530660 11102122 22204244 27755305 55510610 111021220