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112112303100 = 223527481711083
BaseRepresentation
bin110100001101001101…
…0011111101111111100
3101201101022002002111020
41220122122133233330
53314101222144400
6123300443424140
711046150565350
oct1503232375774
9351338062436
10112112303100
1143601521756
121988a225050
13a7590049b5
1455d7953460
152db27902a0
hex1a1a69fbfc

112112303100 has 144 divisors (see below), whose sum is σ = 370828432128. Its totient is φ = 25618037760.

The previous prime is 112112303087. The next prime is 112112303113. The reversal of 112112303100 is 1303211211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (112112303087) and next prime (112112303113).

It is a super-2 number, since 2×1121123031002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 112112303100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10110159 + ... + 10121241.

Almost surely, 2112112303100 is an apocalyptic number.

112112303100 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 112112303100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185414216064).

112112303100 is an abundant number, since it is smaller than the sum of its proper divisors (258716129028).

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

112112303100 is a wasteful number, since it uses less digits than its factorization.

112112303100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15924 (or 15917 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 112112303100 its reverse (1303211211), we get a palindrome (113415514311).

The spelling of 112112303100 in words is "one hundred twelve billion, one hundred twelve million, three hundred three thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 4817 9634 11083 14451 19268 22166 24085 28902 33249 33719 44332 48170 55415 57804 66498 67438 72255 77581 96340 101157 110830 120425 132996 134876 144510 155162 166245 168595 202314 221660 232743 240850 277075 289020 310324 332490 337190 361275 387905 404628 465486 481700 505785 554150 664980 674380 722550 775810 831225 842975 930972 1011570 1108300 1163715 1445100 1551620 1662450 1685950 1939525 2023140 2327430 2528925 3324900 3371900 3879050 4654860 5057850 5818575 7758100 10115700 11637150 23274300 53386811 106773622 160160433 213547244 266934055 320320866 373707677 533868110 640641732 747415354 800802165 1067736220 1121123031 1334670275 1494830708 1601604330 1868538385 2242246062 2669340550 3203208660 3737076770 4004010825 4484492124 5338681100 5605615155 7474153540 8008021650 9342691925 11211230310 16016043300 18685383850 22422460620 28028075775 37370767700 56056151550 112112303100