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112001100 = 223521721961
BaseRepresentation
bin1101010110100…
…00000001001100
321210202020121220
412223100001030
5212133013400
615040323340
72526664551
oct653200114
9253666556
10112001100
11582490a2
1231613550
131a286153
1410c36a28
159c757a0
hex6ad004c

112001100 has 72 divisors (see below), whose sum is σ = 343134288. Its totient is φ = 28108800.

The previous prime is 112001069. The next prime is 112001107. The reversal of 112001100 is 1100211.

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 not an unprimeable number, because it can be changed into a prime (112001107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5881 + ... + 16080.

It is an arithmetic number, because the mean of its divisors is an integer number (4765754).

Almost surely, 2112001100 is an apocalyptic number.

112001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112001100 is an abundant number, since it is smaller than the sum of its proper divisors (231133188).

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

112001100 is a wasteful number, since it uses less digits than its factorization.

112001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21995 (or 21988 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 112001100 is about 10583.0572142458. The cubic root of 112001100 is about 482.0300308992.

Adding to 112001100 its reverse (1100211), we get a palindrome (113101311).

It can be divided in two parts, 112001 and 100, that added together give a triangular number (112101 = T473).

The spelling of 112001100 in words is "one hundred twelve million, one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1275 1700 2550 5100 21961 43922 65883 87844 109805 131766 219610 263532 329415 373337 439220 549025 658830 746674 1098050 1120011 1317660 1493348 1647075 1866685 2196100 2240022 3294150 3733370 4480044 5600055 6588300 7466740 9333425 11200110 18666850 22400220 28000275 37333700 56000550 112001100