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112112103000 = 23353191966879
BaseRepresentation
bin110100001101001100…
…1101110111001011000
3101201101021200221000010
41220122121232321120
53314101144244000
6123300435241520
711046146103102
oct1503231567130
9351337627003
10112112103000
11436013a5387
121988a1492a0
13a758c648b1
1455d7900572
152db2750d50
hex1a1a66ee58

112112103000 has 128 divisors (see below), whose sum is σ = 368199936000. Its totient is φ = 28323043200.

The previous prime is 112112102939. The next prime is 112112103001. The reversal of 112112103000 is 301211211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112112103001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 926440 + ... + 1040439.

It is an arithmetic number, because the mean of its divisors is an integer number (2876562000).

Almost surely, 2112112103000 is an apocalyptic number.

112112103000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112112103000 is an abundant number, since it is smaller than the sum of its proper divisors (256087833000).

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

112112103000 is a wasteful number, since it uses less digits than its factorization.

112112103000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1966922 (or 1966908 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 112112103000 its reverse (301211211), we get a palindrome (112413314211).

The spelling of 112112103000 in words is "one hundred twelve billion, one hundred twelve million, one hundred three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 125 150 152 190 200 228 250 285 300 375 380 456 475 500 570 600 750 760 950 1000 1140 1425 1500 1900 2280 2375 2850 3000 3800 4750 5700 7125 9500 11400 14250 19000 28500 57000 1966879 3933758 5900637 7867516 9834395 11801274 15735032 19668790 23602548 29503185 37370701 39337580 47205096 49171975 59006370 74741402 78675160 98343950 112112103 118012740 147515925 149482804 186853505 196687900 224224206 236025480 245859875 295031850 298965608 373707010 393375800 448448412 491719750 560560515 590063700 737579625 747414020 896896824 934267525 983439500 1121121030 1180127400 1475159250 1494828040 1868535050 1966879000 2242242060 2802802575 2950318500 3737070100 4484484120 4671337625 5605605150 5900637000 7474140200 9342675250 11211210300 14014012875 18685350500 22422420600 28028025750 37370701000 56056051500 112112103000