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2001110013 = 32731763651
BaseRepresentation
bin111011101000110…
…1000001111111101
312011110102220212200
41313101220033331
513044241010023
6530322422113
7100406103660
oct16721501775
95143386780
102001110013
11937635631
1247a201939
1325b775686
1414daa76d7
15baa31743
hex774683fd

2001110013 has 12 divisors (see below), whose sum is σ = 3303419808. Its totient is φ = 1143491400.

The previous prime is 2001109987. The next prime is 2001110017. The reversal of 2001110013 is 3100111002.

It is not a de Polignac number, because 2001110013 - 29 = 2001109501 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 = 2001109977 and 2001110004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001110017) 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, 15881763 + ... + 15881888.

It is an arithmetic number, because the mean of its divisors is an integer number (275284984).

Almost surely, 22001110013 is an apocalyptic number.

It is an amenable number.

2001110013 is a deficient number, since it is larger than the sum of its proper divisors (1302309795).

2001110013 is a wasteful number, since it uses less digits than its factorization.

2001110013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31763664 (or 31763661 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 2001110013 is about 44733.7681511406. The cubic root of 2001110013 is about 1260.1540949104.

Adding to 2001110013 its reverse (3100111002), we get a palindrome (5101221015).

The spelling of 2001110013 in words is "two billion, one million, one hundred ten thousand, thirteen".

Divisors: 1 3 7 9 21 63 31763651 95290953 222345557 285872859 667036671 2001110013