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112012021000 = 23531131328481
BaseRepresentation
bin110100001010001101…
…1111100110100001000
3101201010022101020022101
41220110123330310020
53313400034133000
6123242502203144
711043522316615
oct1502433746410
9351108336271
10112012021000
114355a958290
12198607234b4
13a7412c2989
1455c84cb50c
152da8a81e6a
hex1a146fcd08

112012021000 has 128 divisors (see below), whose sum is σ = 295160785920. Its totient is φ = 39417600000.

The previous prime is 112012020931. The next prime is 112012021001. The reversal of 112012021000 is 120210211.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (112012021001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176760 + ... + 505240.

It is an arithmetic number, because the mean of its divisors is an integer number (2305943640).

Almost surely, 2112012021000 is an apocalyptic number.

112012021000 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 112012021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147580392960).

112012021000 is an abundant number, since it is smaller than the sum of its proper divisors (183148764920).

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

112012021000 is a wasteful number, since it uses less digits than its factorization.

112012021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328544 (or 328530 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 112012021000 its reverse (120210211), we get a palindrome (112132231211).

The spelling of 112012021000 in words is "one hundred twelve billion, twelve million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 31 40 44 50 55 62 88 100 110 124 125 155 200 220 248 250 275 310 341 440 500 550 620 682 775 1000 1100 1240 1364 1375 1550 1705 2200 2728 2750 3100 3410 3875 5500 6200 6820 7750 8525 11000 13640 15500 17050 31000 34100 42625 68200 85250 170500 328481 341000 656962 1313924 1642405 2627848 3284810 3613291 6569620 7226582 8212025 10182911 13139240 14453164 16424050 18066455 20365822 28906328 32848100 36132910 40731644 41060125 50914555 65696200 72265820 81463288 82120250 90332275 101829110 112012021 144531640 164240500 180664550 203658220 224024042 254572775 328481000 361329100 407316440 448048084 451661375 509145550 560060105 722658200 896096168 903322750 1018291100 1120120210 1272863875 1806645500 2036582200 2240240420 2545727750 2800300525 3613291000 4480480840 5091455500 5600601050 10182911000 11201202100 14001502625 22402404200 28003005250 56006010500 112012021000