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112112321100 = 223521378736527
BaseRepresentation
bin110100001101001101…
…0100100001001001100
3101201101022010000011220
41220122122210021030
53314101223233400
6123300444043340
711046151002003
oct1503232441114
9351338100156
10112112321100
114360153422a
121988a233550
13a75900cc50
1455d7959c3a
152db27957a0
hex1a1a6a424c

112112321100 has 144 divisors (see below), whose sum is σ = 349783945728. Its totient is φ = 27561058560.

The previous prime is 112112321077. The next prime is 112112321141. The reversal of 112112321100 is 1123211211.

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 112112321100.

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, 3051037 + ... + 3087563.

Almost surely, 2112112321100 is an apocalyptic number.

112112321100 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 112112321100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174891972864).

112112321100 is an abundant number, since it is smaller than the sum of its proper divisors (237671624628).

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

112112321100 is a wasteful number, since it uses less digits than its factorization.

112112321100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37344 (or 37337 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 112112321100 its reverse (1123211211), we get a palindrome (113235532311).

The spelling of 112112321100 in words is "one hundred twelve billion, one hundred twelve million, three hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 787 975 1300 1574 1950 2361 3148 3900 3935 4722 7870 9444 10231 11805 15740 19675 20462 23610 30693 36527 39350 40924 47220 51155 59025 61386 73054 78700 102310 109581 118050 122772 146108 153465 182635 204620 219162 236100 255775 306930 365270 438324 474851 511550 547905 613860 730540 767325 913175 949702 1023100 1095810 1424553 1534650 1826350 1899404 2191620 2374255 2739525 2849106 3069300 3652700 4748510 5479050 5698212 7122765 9497020 10958100 11871275 14245530 23742550 28491060 28746749 35613825 47485100 57493498 71227650 86240247 114986996 142455300 143733745 172480494 287467490 344960988 373707737 431201235 574934980 718668725 747415474 862402470 1121123211 1437337450 1494830948 1724804940 1868538685 2156006175 2242246422 2874674900 3737077370 4312012350 4484492844 5605616055 7474154740 8624024700 9342693425 11211232110 18685386850 22422464220 28028080275 37370773700 56056160550 112112321100