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1001002002 = 2371113166667
BaseRepresentation
bin111011101010100…
…001010000010010
32120202120011121020
4323222201100102
54022224031002
6243154540310
733543243120
oct7352412022
92522504536
101001002002
11474048690
1223b297696
1312c4cb2a0
1496d2c910
155cd2d2bc
hex3baa1412

1001002002 has 64 divisors (see below), whose sum is σ = 2688021504. Its totient is φ = 239999040.

The previous prime is 1001002001. The next prime is 1001002049. The reversal of 1001002002 is 2002001001.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (1001002001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77328 + ... + 89339.

It is an arithmetic number, because the mean of its divisors is an integer number (42000336).

Almost surely, 21001002002 is an apocalyptic number.

1001002002 is an abundant number, since it is smaller than the sum of its proper divisors (1687019502).

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

1001002002 is a wasteful number, since it uses less digits than its factorization.

1001002002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166703.

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

The square root of 1001002002 is about 31638.6156776810. The cubic root of 1001002002 is about 1000.3338891723. Note that the first 3 decimals are identical.

Adding to 1001002002 its reverse (2002001001), we get a palindrome (3003003003).

The spelling of 1001002002 in words is "one billion, one million, two thousand, two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 273 286 429 462 546 858 1001 2002 3003 6006 166667 333334 500001 1000002 1166669 1833337 2166671 2333338 3500007 3666674 4333342 5500011 6500013 7000014 11000022 12833359 13000026 15166697 23833381 25666718 30333394 38500077 45500091 47666762 71500143 77000154 91000182 143000286 166833667 333667334 500501001 1001002002