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2000002002 = 232609127763
BaseRepresentation
bin111011100110101…
…1001101111010010
312011101100121222020
41313031121233102
513044000031002
6530242552310
7100363510425
oct16715315722
95141317866
102000002002
11936a49119
12479968696
1325b47824b
1414d8999bc
15ba8b32bc
hex77359bd2

2000002002 has 16 divisors (see below), whose sum is σ = 4001568480. Its totient is φ = 666406592.

The previous prime is 2000001973. The next prime is 2000002031. The reversal of 2000002002 is 2002000002.

It is an interprime number because it is at equal distance from previous prime (2000001973) and next prime (2000002031).

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

2000002002 is a modest number, since divided by 2002 gives 2000 as remainder.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48228 + ... + 79535.

It is an arithmetic number, because the mean of its divisors is an integer number (250098030).

Almost surely, 22000002002 is an apocalyptic number.

2000002002 is an abundant number, since it is smaller than the sum of its proper divisors (2001566478).

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

2000002002 is a wasteful number, since it uses less digits than its factorization.

2000002002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130377.

The product of its (nonzero) digits is 8, while the sum is 6.

The square root of 2000002002 is about 44721.3819330306. The cubic root of 2000002002 is about 1259.9214702884.

Adding to 2000002002 its reverse (2002000002), we get a palindrome (4002002004).

The spelling of 2000002002 in words is "two billion, two thousand, two", and thus it is an eban number.

Divisors: 1 2 3 6 2609 5218 7827 15654 127763 255526 383289 766578 333333667 666667334 1000001001 2000002002