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112101220 = 225721110399
BaseRepresentation
bin1101010111010…
…00011101100100
321210221022222001
412223220131210
5212144214340
615042415044
72530562500
oct653503544
9253838861
10112101220
1158307340
1231661484
131a2bc8aa
1410c61300
159c9529a
hex6ae8764

112101220 has 72 divisors (see below), whose sum is σ = 298771200. Its totient is φ = 34937280.

The previous prime is 112101217. The next prime is 112101221. The reversal of 112101220 is 22101211.

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 = 112101197 and 112101206.

It is not an unprimeable number, because it can be changed into a prime (112101221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5581 + ... + 15979.

It is an arithmetic number, because the mean of its divisors is an integer number (4149600).

Almost surely, 2112101220 is an apocalyptic number.

112101220 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 112101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149385600).

112101220 is an abundant number, since it is smaller than the sum of its proper divisors (186669980).

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

112101220 is a wasteful number, since it uses less digits than its factorization.

112101220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10433 (or 10424 counting only the distinct ones).

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

The square root of 112101220 is about 10587.7863597638. The cubic root of 112101220 is about 482.1736201836.

Adding to 112101220 its reverse (22101211), we get a palindrome (134202431).

Subtracting from 112101220 its reverse (22101211), we obtain a palindrome (90000009).

The spelling of 112101220 in words is "one hundred twelve million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 196 220 245 308 385 490 539 770 980 1078 1540 2156 2695 5390 10399 10780 20798 41596 51995 72793 103990 114389 145586 207980 228778 291172 363965 457556 509551 571945 727930 800723 1019102 1143890 1455860 1601446 2038204 2287780 2547755 3202892 4003615 5095510 5605061 8007230 10191020 11210122 16014460 22420244 28025305 56050610 112101220