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112130977000 = 23537142311257
BaseRepresentation
bin110100001101110000…
…1101110110011101000
3101201102121012211021011
41220123201232303220
53314121012231000
6123302351553304
711046465402250
oct1503341566350
9351377184234
10112130977000
1143611016729
121989452b834
13a75cb42643
1455da214960
152db422d2ba
hex1a1b86ece8

112130977000 has 128 divisors (see below), whose sum is σ = 300107658240. Its totient is φ = 38414476800.

The previous prime is 112130976989. The next prime is 112130977019. The reversal of 112130977000 is 779031211.

It is an unprimeable number.

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, 9955372 + ... + 9966628.

It is an arithmetic number, because the mean of its divisors is an integer number (2344591080).

Almost surely, 2112130977000 is an apocalyptic number.

112130977000 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 112130977000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150053829120).

112130977000 is an abundant number, since it is smaller than the sum of its proper divisors (187976681240).

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

112130977000 is a wasteful number, since it uses less digits than its factorization.

112130977000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12708 (or 12694 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 31.

The spelling of 112130977000 in words is "one hundred twelve billion, one hundred thirty million, nine hundred seventy-seven thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1423 1750 2846 3500 5692 7000 7115 9961 11257 11384 14230 19922 22514 28460 35575 39844 45028 49805 56285 56920 71150 78799 79688 90056 99610 112570 142300 157598 177875 199220 225140 249025 281425 284600 315196 355750 393995 398440 450280 498050 562850 630392 711500 787990 996100 1125700 1245125 1407125 1423000 1575980 1969975 1992200 2251400 2490250 2814250 3151960 3939950 4980500 5628500 7879900 9849875 9961000 11257000 15759800 16018711 19699750 32037422 39399500 64074844 78799000 80093555 112130977 128149688 160187110 224261954 320374220 400467775 448523908 560654885 640748440 800935550 897047816 1121309770 1601871100 2002338875 2242619540 2803274425 3203742200 4004677750 4485239080 5606548850 8009355500 11213097700 14016372125 16018711000 22426195400 28032744250 56065488500 112130977000