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112198366000 = 2453719141959
BaseRepresentation
bin110100001111110001…
…0110011001100110000
3101201121022000112121001
41220133202303030300
53314240240203000
6123313200211344
711051244242530
oct1503742631460
9351538015531
10112198366000
1143646064016
12198b3009b54
13a770aa88a6
1456051574c0
152dba0e046a
hex1a1f8b3330

112198366000 has 160 divisors (see below), whose sum is σ = 311682908160. Its totient is φ = 38265696000.

The previous prime is 112198365989. The next prime is 112198366003. The reversal of 112198366000 is 663891211.

It is not an unprimeable number, because it can be changed into a prime (112198366003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2653021 + ... + 2694979.

It is an arithmetic number, because the mean of its divisors is an integer number (1948018176).

Almost surely, 2112198366000 is an apocalyptic number.

112198366000 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 112198366000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155841454080).

112198366000 is an abundant number, since it is smaller than the sum of its proper divisors (199484542160).

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

112198366000 is a wasteful number, since it uses less digits than its factorization.

112198366000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42180 (or 42164 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The spelling of 112198366000 in words is "one hundred twelve billion, one hundred ninety-eight million, three hundred sixty-six thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 191 200 250 280 350 382 400 500 560 700 764 875 955 1000 1337 1400 1528 1750 1910 2000 2674 2800 3056 3500 3820 4775 5348 6685 7000 7640 9550 10696 13370 14000 15280 19100 21392 23875 26740 33425 38200 41959 47750 53480 66850 76400 83918 95500 106960 133700 167125 167836 191000 209795 267400 293713 334250 335672 382000 419590 534800 587426 668500 671344 839180 1048975 1174852 1337000 1468565 1678360 2097950 2349704 2674000 2937130 3356720 4195900 4699408 5244875 5874260 7342825 8014169 8391800 10489750 11748520 14685650 16028338 16783600 20979500 23497040 29371300 32056676 36714125 40070845 41959000 56099183 58742600 64113352 73428250 80141690 83918000 112198366 117485200 128226704 146856500 160283380 200354225 224396732 280495915 293713000 320566760 400708450 448793464 560991830 587426000 641133520 801416900 897586928 1001771125 1121983660 1402479575 1602833800 2003542250 2243967320 2804959150 3205667600 4007084500 4487934640 5609918300 7012397875 8014169000 11219836600 14024795750 16028338000 22439673200 28049591500 56099183000 112198366000