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112002210 = 23351133671
BaseRepresentation
bin1101010110100…
…00010010100010
321210202022011000
412223100102202
5212133032320
615040332430
72530001025
oct653202242
9253668130
10112002210
1158249a11
1231614116
131a2867c8
1410c371bc
159c75c90
hex6ad04a2

112002210 has 64 divisors (see below), whose sum is σ = 301397760. Its totient is φ = 29594880.

The previous prime is 112002199. The next prime is 112002211. The reversal of 112002210 is 12200211.

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 = 112002192 and 112002201.

It is not an unprimeable number, because it can be changed into a prime (112002211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28675 + ... + 32345.

It is an arithmetic number, because the mean of its divisors is an integer number (4709340).

Almost surely, 2112002210 is an apocalyptic number.

112002210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112002210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150698880).

112002210 is an abundant number, since it is smaller than the sum of its proper divisors (189395550).

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

112002210 is a wasteful number, since it uses less digits than its factorization.

112002210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3800 (or 3794 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 112002210 is about 10583.1096564290. The cubic root of 112002210 is about 482.0316232990.

Adding to 112002210 its reverse (12200211), we get a palindrome (124202421).

The spelling of 112002210 in words is "one hundred twelve million, two thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 113 135 226 270 339 565 678 1017 1130 1695 2034 3051 3390 3671 5085 6102 7342 10170 11013 15255 18355 22026 30510 33039 36710 55065 66078 99117 110130 165195 198234 330390 414823 495585 829646 991170 1244469 2074115 2488938 3733407 4148230 6222345 7466814 11200221 12444690 18667035 22400442 37334070 56001105 112002210