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112211010 = 232531371087
BaseRepresentation
bin1101011000000…
…11010001000010
321211010220120100
412230003101002
5212211223020
615045023230
72531530542
oct654032102
9254126510
10112211010
115838187a
12316b4b16
131a32a862
1410c8d322
159cb7a90
hex6b03442

112211010 has 96 divisors (see below), whose sum is σ = 309583872. Its totient is φ = 28149120.

The previous prime is 112210939. The next prime is 112211053. The reversal of 112211010 is 10112211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 112210983 and 112211001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102687 + ... + 103773.

It is an arithmetic number, because the mean of its divisors is an integer number (3224832).

Almost surely, 2112211010 is an apocalyptic number.

112211010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112211010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154791936).

112211010 is an abundant number, since it is smaller than the sum of its proper divisors (197372862).

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

112211010 is a wasteful number, since it uses less digits than its factorization.

112211010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 112211010 is about 10592.9698385297. The cubic root of 112211010 is about 482.3309796635.

Adding to 112211010 its reverse (10112211), we get a palindrome (122323221).

The spelling of 112211010 in words is "one hundred twelve million, two hundred eleven thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 37 45 62 74 90 93 111 155 185 186 222 279 310 333 370 465 555 558 666 930 1087 1110 1147 1395 1665 2174 2294 2790 3261 3330 3441 5435 5735 6522 6882 9783 10323 10870 11470 16305 17205 19566 20646 32610 33697 34410 40219 48915 51615 67394 80438 97830 101091 103230 120657 168485 201095 202182 241314 303273 336970 361971 402190 505455 603285 606546 723942 1010910 1206570 1246789 1516365 1809855 2493578 3032730 3619710 3740367 6233945 7480734 11221101 12467890 18701835 22442202 37403670 56105505 112211010