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112300020 = 2235573301
BaseRepresentation
bin1101011000110…
…00111111110100
321211022102200000
412230120333310
5212222100040
615050551300
72532351210
oct654307764
9254272600
10112300020
1158432738
1231738530
131a35c221
1410cb3940
159cd4130
hex6b18ff4

112300020 has 144 divisors (see below), whose sum is σ = 403847808. Its totient is φ = 25660800.

The previous prime is 112300003. The next prime is 112300039. The reversal of 112300020 is 20003211.

It is a happy number.

It is a super-2 number, since 2×1123000202 = 25222588984000800, which contains 22 as substring.

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 = 112299975 and 112300011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32370 + ... + 35670.

Almost surely, 2112300020 is an apocalyptic number.

112300020 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 112300020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201923904).

112300020 is an abundant number, since it is smaller than the sum of its proper divisors (291547788).

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

112300020 is a wasteful number, since it uses less digits than its factorization.

112300020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3332 (or 3318 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 112300020 is about 10597.1703770393. The cubic root of 112300020 is about 482.4584803239.

Adding to 112300020 its reverse (20003211), we get a palindrome (132303231).

The spelling of 112300020 in words is "one hundred twelve million, three hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 243 252 270 315 324 378 405 420 486 540 567 630 756 810 945 972 1134 1215 1260 1620 1701 1890 2268 2430 2835 3301 3402 3780 4860 5670 6602 6804 8505 9903 11340 13204 16505 17010 19806 23107 29709 33010 34020 39612 46214 49515 59418 66020 69321 89127 92428 99030 115535 118836 138642 148545 178254 198060 207963 231070 267381 277284 297090 346605 356508 415926 445635 462140 534762 594180 623889 693210 802143 831852 891270 1039815 1069524 1247778 1336905 1386420 1604286 1782540 1871667 2079630 2495556 2673810 3119445 3208572 3743334 4010715 4159260 5347620 5615001 6238890 7486668 8021430 9358335 11230002 12477780 16042860 18716670 22460004 28075005 37433340 56150010 112300020