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112110020200 = 235253101104717
BaseRepresentation
bin110100001101001000…
…1110010011001101000
3101201101010210002221101
41220122101302121220
53314100131121300
6123300322451144
711046122306563
oct1503221623150
9351333702841
10112110020200
1143600202562
1219889503ab4
13a7586b5879
1455d751b4da
152db248db6a
hex1a1a472668

112110020200 has 96 divisors (see below), whose sum is σ = 268205835960. Its totient is φ = 43561856000.

The previous prime is 112110020179. The next prime is 112110020219. The reversal of 112110020200 is 2020011211.

It can be written as a sum of positive squares in 12 ways, for example, as 17653373956 + 94456646244 = 132866^2 + 307338^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 1018242 + ... + 1122958.

Almost surely, 2112110020200 is an apocalyptic number.

112110020200 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 112110020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134102917980).

112110020200 is an abundant number, since it is smaller than the sum of its proper divisors (156095815760).

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

112110020200 is a wasteful number, since it uses less digits than its factorization.

112110020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104887 (or 104878 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 112110020200 its reverse (2020011211), we get a palindrome (114130031411).

The spelling of 112110020200 in words is "one hundred twelve billion, one hundred ten million, twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 101 106 200 202 212 265 404 424 505 530 808 1010 1060 1325 2020 2120 2525 2650 4040 5050 5300 5353 10100 10600 10706 20200 21412 26765 42824 53530 104717 107060 133825 209434 214120 267650 418868 523585 535300 837736 1047170 1070600 2094340 2617925 4188680 5235850 5550001 10471700 10576417 11100002 20943400 21152834 22200004 27750005 42305668 44400008 52882085 55500010 84611336 105764170 111000020 138750025 211528340 222000040 264410425 277500050 423056680 528820850 555000100 560550101 1057641700 1110000200 1121100202 2115283400 2242200404 2802750505 4484400808 5605501010 11211002020 14013752525 22422004040 28027505050 56055010100 112110020200