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20020002002 = 2711213909091
BaseRepresentation
bin10010101001010010…
…001111110011010010
31220200020011110211122
4102221102033303102
5312000110031002
613110322042242
71306054131530
oct225122176322
956606143748
1020020002002
118543850900
123a687a9382
131b7088bc40
14d7cc11150
157c28bc6a2
hex4a948fcd2

20020002002 has 48 divisors (see below), whose sum is σ = 40625503296. Its totient is φ = 7199992800.

The previous prime is 20020002001. The next prime is 20020002007.

20020002002 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (20020002001) by changing a digit.

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, 432524 + ... + 476567.

It is an arithmetic number, because the mean of its divisors is an integer number (846364652).

Almost surely, 220020002002 is an apocalyptic number.

20020002002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20020002002 is an abundant number, since it is smaller than the sum of its proper divisors (20605501294).

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

20020002002 is a wasteful number, since it uses less digits than its factorization.

20020002002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909135 (or 909124 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

It can be divided in two parts, 2002000 and 2002, that added together give a palindrome (2004002).

The spelling of 20020002002 in words is "twenty billion, twenty million, two thousand, two".

Divisors: 1 2 7 11 13 14 22 26 77 91 121 143 154 182 242 286 847 1001 1573 1694 2002 3146 11011 22022 909091 1818182 6363637 10000001 11818183 12727274 20000002 23636366 70000007 82727281 110000011 130000013 140000014 165454562 220000022 260000026 770000077 910000091 1430000143 1540000154 1820000182 2860000286 10010001001 20020002002