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2002000110 = 2351134917383
BaseRepresentation
bin111011101010100…
…0001100011101110
312011112010010212020
41313111001203232
513100003000420
6530353451010
7100416502005
oct16725014356
95145103766
102002000110
11938093350
1247a570a66
1325b9c7866
1414dc59c3c
15bab5a340
hex775418ee

2002000110 has 64 divisors (see below), whose sum is σ = 5256921600. Its totient is φ = 483914880.

The previous prime is 2002000081. The next prime is 2002000141. The reversal of 2002000110 is 110002002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106479 + ... + 123861.

It is an arithmetic number, because the mean of its divisors is an integer number (82139400).

Almost surely, 22002000110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002000110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2628460800).

2002000110 is an abundant number, since it is smaller than the sum of its proper divisors (3254921490).

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

2002000110 is a wasteful number, since it uses less digits than its factorization.

2002000110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17753.

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 2002000110 is about 44743.7158716171. The cubic root of 2002000110 is about 1260.3409067478.

Adding to 2002000110 its reverse (110002002), we get a palindrome (2112002112).

The spelling of 2002000110 in words is "two billion, two million, one hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 349 698 1047 1745 2094 3490 3839 5235 7678 10470 11517 17383 19195 23034 34766 38390 52149 57585 86915 104298 115170 173830 191213 260745 382426 521490 573639 956065 1147278 1912130 2868195 5736390 6066667 12133334 18200001 30333335 36400002 60666670 66733337 91000005 133466674 182000010 200200011 333666685 400400022 667333370 1001000055 2002000110