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2002012012 = 2272111371429
BaseRepresentation
bin111011101010100…
…0100011101101100
312011112010202012001
41313111010131230
513100003341022
6530354022044
7100416551500
oct16725043554
95145122161
102002012012
119380a1290
1247a577924
1325ba000c0
1414dc60300
15bab5db27
hex7754476c

2002012012 has 72 divisors (see below), whose sum is σ = 4788095760. Its totient is φ = 719994240.

The previous prime is 2002011959. The next prime is 2002012027. The reversal of 2002012012 is 2102102002.

It is a self number, because there is not a number n which added to its sum of digits gives 2002012012.

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 23 ways as a sum of consecutive naturals, for example, 7687 + ... + 63742.

It is an arithmetic number, because the mean of its divisors is an integer number (66501330).

Almost surely, 22002012012 is an apocalyptic number.

2002012012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2002012012 is an abundant number, since it is smaller than the sum of its proper divisors (2786083748).

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

2002012012 is a wasteful number, since it uses less digits than its factorization.

2002012012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71471 (or 71462 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2002012012 is about 44743.8488733368. The cubic root of 2002012012 is about 1260.3434043414.

Adding to 2002012012 its reverse (2102102002), we get a palindrome (4104114014).

The spelling of 2002012012 in words is "two billion, two million, twelve thousand, twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 49 52 77 91 98 143 154 182 196 286 308 364 539 572 637 1001 1078 1274 2002 2156 2548 4004 7007 14014 28028 71429 142858 285716 500003 785719 928577 1000006 1571438 1857154 2000012 3142876 3500021 3714308 5500033 6500039 7000042 10214347 11000066 13000078 14000084 20428694 22000132 26000156 38500231 40857388 45500273 71500429 77000462 91000546 143000858 154000924 182001092 286001716 500503003 1001006006 2002012012