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111210000220 = 2251110316330109
BaseRepresentation
bin110011110010010100…
…0011110111101011100
3101122001102020100122001
41213210220132331130
53310224230001340
6123031132132044
711014613255614
oct1474450367534
9348042210561
10111210000220
11431891671a0
1219678007024
13a6440b3077
14554db97a44
152d5d45b29a
hex19e4a1ef5c

111210000220 has 96 divisors (see below), whose sum is σ = 258832304640. Its totient is φ = 39800367360.

The previous prime is 111210000217. The next prime is 111210000221. The reversal of 111210000220 is 22000012111.

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 = 111210000197 and 111210000206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111210000221) 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, 3678526 + ... + 3708634.

It is an arithmetic number, because the mean of its divisors is an integer number (2696169840).

Almost surely, 2111210000220 is an apocalyptic number.

111210000220 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 111210000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129416152320).

111210000220 is an abundant number, since it is smaller than the sum of its proper divisors (147622304420).

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

111210000220 is a wasteful number, since it uses less digits than its factorization.

111210000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30395 (or 30393 counting only the distinct ones).

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

Adding to 111210000220 its reverse (22000012111), we get a palindrome (133210012331).

The spelling of 111210000220 in words is "one hundred eleven billion, two hundred ten million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 44 55 103 110 163 206 220 326 412 515 652 815 1030 1133 1630 1793 2060 2266 3260 3586 4532 5665 7172 8965 11330 16789 17930 22660 30109 33578 35860 60218 67156 83945 120436 150545 167890 184679 301090 331199 335780 369358 602180 662398 738716 923395 1324796 1655995 1846790 3101227 3311990 3693580 4907767 6202454 6623980 9815534 12404908 15506135 19631068 24538835 31012270 34113497 49077670 53985437 62024540 68226994 98155340 107970874 136453988 170567485 215941748 269927185 341134970 505500001 539854370 682269940 1011000002 1079708740 2022000004 2527500005 5055000010 5560500011 10110000020 11121000022 22242000044 27802500055 55605000110 111210000220