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112110112020 = 22358988723669
BaseRepresentation
bin110100001101001001…
…0001000110100010100
3101201101010221202220010
41220122102020310110
53314100142041040
6123300324440220
711046123141354
oct1503222106424
9351333852803
10112110112020
1143600265545
1219889549070
13a7587185ba
1455d7542b64
152db24aae80
hex1a1a488d14

112110112020 has 96 divisors (see below), whose sum is σ = 317806675200. Its totient is φ = 29525545984.

The previous prime is 112110111947. The next prime is 112110112043. The reversal of 112110112020 is 20211011211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 112110111987 and 112110112005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4724746 + ... + 4748414.

It is an arithmetic number, because the mean of its divisors is an integer number (3310486200).

Almost surely, 2112110112020 is an apocalyptic number.

112110112020 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 112110112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158903337600).

112110112020 is an abundant number, since it is smaller than the sum of its proper divisors (205696563180).

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

112110112020 is a wasteful number, since it uses less digits than its factorization.

112110112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24657 (or 24655 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 112110112020 its reverse (20211011211), we get a palindrome (132321123231).

The spelling of 112110112020 in words is "one hundred twelve billion, one hundred ten million, one hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 89 178 267 356 445 534 887 890 1068 1335 1774 1780 2661 2670 3548 4435 5322 5340 8870 10644 13305 17740 23669 26610 47338 53220 71007 78943 94676 118345 142014 157886 236690 236829 284028 315772 355035 394715 473380 473658 710070 789430 947316 1184145 1420140 1578860 2106541 2368290 4213082 4736580 6319623 8426164 10532705 12639246 20994403 21065410 25278492 31598115 41988806 42130820 62983209 63196230 83977612 104972015 125966418 126392460 209944030 251932836 314916045 419888060 629832090 1259664180 1868501867 3737003734 5605505601 7474007468 9342509335 11211011202 18685018670 22422022404 28027528005 37370037340 56055056010 112110112020