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112000020 = 223511215427
BaseRepresentation
bin1101010110011…
…11110000010100
321210202012010220
412223033300110
5212133000040
615040314340
72526661446
oct653176024
9253665126
10112000020
1158248300
12316129b0
131a285802
1410c36496
159c752d0
hex6acfc14

112000020 has 72 divisors (see below), whose sum is σ = 344723232. Its totient is φ = 27149760.

The previous prime is 111999997. The next prime is 112000043. The reversal of 112000020 is 20000211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (111999997) and next prime (112000043).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 111999972 and 112000008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 454 + ... + 14973.

Almost surely, 2112000020 is an apocalyptic number.

112000020 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 112000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172361616).

112000020 is an abundant number, since it is smaller than the sum of its proper divisors (232723212).

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

112000020 is a wasteful number, since it uses less digits than its factorization.

112000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15461 (or 15448 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 112000020 is about 10583.0061891695. The cubic root of 112000020 is about 482.0284815272.

Adding to 112000020 its reverse (20000211), we get a palindrome (132000231).

It can be divided in two parts, 1 and 12000020, that added together give a palindrome (12000021).

The spelling of 112000020 in words is "one hundred twelve million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 1210 1452 1815 2420 3630 7260 15427 30854 46281 61708 77135 92562 154270 169697 185124 231405 308540 339394 462810 509091 678788 848485 925620 1018182 1696970 1866667 2036364 2545455 3393940 3733334 5090910 5600001 7466668 9333335 10181820 11200002 18666670 22400004 28000005 37333340 56000010 112000020