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1002020013 = 32432589199
BaseRepresentation
bin111011101110011…
…001110010101101
32120211110220001100
4323232121302231
54023004120023
6243232433313
733555013101
oct7356316255
92524426040
101002020013
11474683515
1223b6a8839
1312c796767
1497115901
155ce7ec43
hex3bb99cad

1002020013 has 12 divisors (see below), whose sum is σ = 1481022400. Its totient is φ = 652477896.

The previous prime is 1002020009. The next prime is 1002020017. The reversal of 1002020013 is 3100202001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1002020009) and next prime (1002020017).

It is not a de Polignac number, because 1002020013 - 22 = 1002020009 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1002019977 and 1002020004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002020017) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1294213 + ... + 1294986.

Almost surely, 21002020013 is an apocalyptic number.

It is an amenable number.

1002020013 is a deficient number, since it is larger than the sum of its proper divisors (479002387).

1002020013 is a wasteful number, since it uses less digits than its factorization.

1002020013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2589248 (or 2589245 counting only the distinct ones).

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

The square root of 1002020013 is about 31654.6996984650. The cubic root of 1002020013 is about 1000.6728847912.

Adding to 1002020013 its reverse (3100202001), we get a palindrome (4102222014).

It can be divided in two parts, 100202001 and 3, that multiplied together give a palindrome (300606003).

The spelling of 1002020013 in words is "one billion, two million, twenty thousand, thirteen".

Divisors: 1 3 9 43 129 387 2589199 7767597 23302791 111335557 334006671 1002020013