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2002004112 = 243251166169
BaseRepresentation
bin111011101010100…
…0010100010010000
312011112010100100110
41313111002202100
513100003112422
6530353521320
7100416516453
oct16725024220
95145110313
102002004112
11938096359
1247a573240
1325b9c9624
1414dc5b49a
15bab5b60c
hex77542890

2002004112 has 40 divisors (see below), whose sum is σ = 5192480160. Its totient is φ = 664672000.

The previous prime is 2002004101. The next prime is 2002004117. The reversal of 2002004112 is 2114002002.

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

It is not an unprimeable number, because it can be changed into a prime (2002004117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71037 + ... + 95132.

It is an arithmetic number, because the mean of its divisors is an integer number (129812004).

Almost surely, 22002004112 is an apocalyptic number.

It is an amenable number.

2002004112 is an abundant number, since it is smaller than the sum of its proper divisors (3190476048).

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

2002004112 is a wasteful number, since it uses less digits than its factorization.

2002004112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166431 (or 166425 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2002004112 is about 44743.7605929587. The cubic root of 2002004112 is about 1260.3417465548.

Adding to 2002004112 its reverse (2114002002), we get a palindrome (4116006114).

The spelling of 2002004112 in words is "two billion, two million, four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 251 502 753 1004 1506 2008 3012 4016 6024 12048 166169 332338 498507 664676 997014 1329352 1994028 2658704 3988056 7976112 41708419 83416838 125125257 166833676 250250514 333667352 500501028 667334704 1001002056 2002004112