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1112112100 = 22521123113389
BaseRepresentation
bin100001001001001…
…0111101111100100
32212111122011000001
41002102113233210
54234200041400
6302204231044
736362540221
oct10222275744
92774564001
101112112100
11520838310
1227053b484
131495319c8
14a79b2948
1567979a6a
hex42497be4

1112112100 has 144 divisors (see below), whose sum is σ = 2778572160. Its totient is φ = 382412800.

The previous prime is 1112112041. The next prime is 1112112101. The reversal of 1112112100 is 12112111.

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

It is not an unprimeable number, because it can be changed into a prime (1112112101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2858706 + ... + 2859094.

It is an arithmetic number, because the mean of its divisors is an integer number (19295640).

Almost surely, 21112112100 is an apocalyptic number.

1112112100 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 1112112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389286080).

1112112100 is an abundant number, since it is smaller than the sum of its proper divisors (1666460060).

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

1112112100 is a wasteful number, since it uses less digits than its factorization.

1112112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

The square root of 1112112100 is about 33348.3447865108. The cubic root of 1112112100 is about 1036.0551058179.

Adding to 1112112100 its reverse (12112111), we get a palindrome (1124224211).

It can be divided in two parts, 111211 and 2100, that added together give a palindrome (113311).

The spelling of 1112112100 in words is "one billion, one hundred twelve million, one hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 23 25 44 46 50 55 92 100 110 113 115 220 226 230 253 275 389 452 460 506 550 565 575 778 1012 1100 1130 1150 1243 1265 1556 1945 2260 2300 2486 2530 2599 2825 3890 4279 4972 5060 5198 5650 6215 6325 7780 8558 8947 9725 10396 11300 12430 12650 12995 17116 17894 19450 21395 24860 25300 25990 28589 31075 35788 38900 42790 43957 44735 51980 57178 62150 64975 85580 87914 89470 98417 106975 114356 124300 129950 142945 175828 178940 196834 213950 219785 223675 259900 285890 393668 427900 439570 447350 483527 492085 571780 714725 879140 894700 967054 984170 1011011 1098925 1429450 1934108 1968340 2022022 2197850 2417635 2460425 2858900 4044044 4395700 4835270 4920850 5055055 9670540 9841700 10110110 11121121 12088175 20220220 22242242 24176350 25275275 44484484 48352700 50550550 55605605 101101100 111211210 222422420 278028025 556056050 1112112100