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112021000 = 23537131231
BaseRepresentation
bin1101010110101…
…00111000001000
321210210020220221
412223110320020
5212134133000
615040555424
72530106560
oct653247010
9253706827
10112021000
1158262043
1231622b74
131a292220
1410c3dda0
159c7b61a
hex6ad4e08

112021000 has 128 divisors (see below), whose sum is σ = 322882560. Its totient is φ = 35424000.

The previous prime is 112020983. The next prime is 112021001. The reversal of 112021000 is 120211.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is not an unprimeable number, because it can be changed into a prime (112021001) 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, 90385 + ... + 91615.

It is an arithmetic number, because the mean of its divisors is an integer number (2522520).

Almost surely, 2112021000 is an apocalyptic number.

112021000 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 112021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161441280).

112021000 is an abundant number, since it is smaller than the sum of its proper divisors (210861560).

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

112021000 is a wasteful number, since it uses less digits than its factorization.

112021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 112021000 is about 10583.9973544970. The cubic root of 112021000 is about 482.0585777306.

Adding to 112021000 its reverse (120211), we get a palindrome (112141211).

The spelling of 112021000 in words is "one hundred twelve million, twenty-one thousand".

Divisors: 1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 50 52 56 65 70 91 100 104 125 130 140 175 182 200 250 260 280 325 350 364 455 500 520 650 700 728 875 910 1000 1231 1300 1400 1625 1750 1820 2275 2462 2600 3250 3500 3640 4550 4924 6155 6500 7000 8617 9100 9848 11375 12310 13000 16003 17234 18200 22750 24620 30775 32006 34468 43085 45500 49240 61550 64012 68936 80015 86170 91000 112021 123100 128024 153875 160030 172340 215425 224042 246200 307750 320060 344680 400075 430850 448084 560105 615500 640120 800150 861700 896168 1077125 1120210 1231000 1600300 1723400 2000375 2154250 2240420 2800525 3200600 4000750 4308500 4480840 5601050 8001500 8617000 11202100 14002625 16003000 22404200 28005250 56010500 112021000