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1000202013 = 3412348173
BaseRepresentation
bin111011100111011…
…101111100011101
32120201001112020000
4323213131330131
54022022431023
6243125444513
733533401566
oct7347357435
92521045200
101000202013
11473651638
1223ab70739
1312c2ab115
1496ba116d
155cc21243
hex3b9ddf1d

1000202013 has 10 divisors (see below), whose sum is σ = 1494129054. Its totient is φ = 666801288.

The previous prime is 1000202003. The next prime is 1000202029. The reversal of 1000202013 is 3102020001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 881021124 + 119180889 = 29682^2 + 10917^2 .

It is not a de Polignac number, because 1000202013 - 28 = 1000201757 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1000201986 and 1000202004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000202003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 6174006 + ... + 6174167.

Almost surely, 21000202013 is an apocalyptic number.

It is an amenable number.

1000202013 is a deficient number, since it is larger than the sum of its proper divisors (493927041).

1000202013 is an equidigital number, since it uses as much as digits as its factorization.

1000202013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12348185 (or 12348176 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1000202013 is about 31625.9705463722. The cubic root of 1000202013 is about 1000.0673331328.

Adding to 1000202013 its reverse (3102020001), we get a palindrome (4102222014).

The spelling of 1000202013 in words is "one billion, two hundred two thousand, thirteen".

Divisors: 1 3 9 27 81 12348173 37044519 111133557 333400671 1000202013