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2002001020 = 225100100051
BaseRepresentation
bin111011101010100…
…0001110001111100
312011112010012002221
41313111001301330
513100003013040
6530353455124
7100416504445
oct16725016174
95145105087
102002001020
11938093aa8
1247a5714a4
1325b9c80b6
1414dc5a2cc
15bab5a74a
hex77541c7c

2002001020 has 12 divisors (see below), whose sum is σ = 4204202184. Its totient is φ = 800800400.

The previous prime is 2002000969. The next prime is 2002001021. The reversal of 2002001020 is 201002002.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2002000994 and 2002001012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002001021) 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 3 ways as a sum of consecutive naturals, for example, 50050006 + ... + 50050045.

It is an arithmetic number, because the mean of its divisors is an integer number (350350182).

Almost surely, 22002001020 is an apocalyptic number.

2002001020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002001020 is an abundant number, since it is smaller than the sum of its proper divisors (2202201164).

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

2002001020 is a wasteful number, since it uses less digits than its factorization.

2002001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100100060 (or 100100058 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 2002001020 is about 44743.7260406417. The cubic root of 2002001020 is about 1260.3410977085.

Adding to 2002001020 its reverse (201002002), we get a palindrome (2203003022).

The spelling of 2002001020 in words is "two billion, two million, one thousand, twenty".

Divisors: 1 2 4 5 10 20 100100051 200200102 400400204 500500255 1001000510 2002001020