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112021020 = 223254143353
BaseRepresentation
bin1101010110101…
…00111000011100
321210210020221200
412223110320130
5212134133040
615040555500
72530106616
oct653247034
9253706850
10112021020
1158262061
1231622b90
131a292237
1410c3ddb6
159c7b630
hex6ad4e1c

112021020 has 144 divisors (see below), whose sum is σ = 357188832. Its totient is φ = 28385280.

The previous prime is 112021003. The next prime is 112021027. The reversal of 112021020 is 20120211.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 112020993 and 112021011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112021027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 317164 + ... + 317516.

It is an arithmetic number, because the mean of its divisors is an integer number (2480478).

Almost surely, 2112021020 is an apocalyptic number.

112021020 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 112021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178594416).

112021020 is an abundant number, since it is smaller than the sum of its proper divisors (245167812).

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

112021020 is a wasteful number, since it uses less digits than its factorization.

112021020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 112021020 is about 10583.9982993196. The cubic root of 112021020 is about 482.0586064192.

Adding to 112021020 its reverse (20120211), we get a palindrome (132141231).

The spelling of 112021020 in words is "one hundred twelve million, twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 43 45 60 82 86 90 123 129 164 172 180 205 215 246 258 353 369 387 410 430 492 516 615 645 706 738 774 820 860 1059 1230 1290 1412 1476 1548 1763 1765 1845 1935 2118 2460 2580 3177 3526 3530 3690 3870 4236 5289 5295 6354 7052 7060 7380 7740 8815 10578 10590 12708 14473 15179 15867 15885 17630 21156 21180 26445 28946 30358 31734 31770 35260 43419 45537 52890 57892 60716 63468 63540 72365 75895 79335 86838 91074 105780 130257 136611 144730 151790 158670 173676 182148 217095 227685 260514 273222 289460 303580 317340 434190 455370 521028 546444 622339 651285 683055 868380 910740 1244678 1302570 1366110 1867017 2489356 2605140 2732220 3111695 3734034 5601051 6223390 7468068 9335085 11202102 12446780 18670170 22404204 28005255 37340340 56010510 112021020