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2001001113 = 323115147497
BaseRepresentation
bin111011101000100…
…1101101010011001
312011110020101111100
41313101031222121
513044224013423
6530320222013
7100405141326
oct16721155231
95143211440
102001001113
11937570831
1247a16a909
1325b737c37
1414da79b4d
15baa0e343
hex7744da99

2001001113 has 24 divisors (see below), whose sum is σ = 3003393536. Its totient is φ = 1282392000.

The previous prime is 2001001109. The next prime is 2001001147. The reversal of 2001001113 is 3111001002.

It is not a de Polignac number, because 2001001113 - 22 = 2001001109 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 = 2001001095 and 2001001104.

It is not an unprimeable number, because it can be changed into a prime (2001001103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18381 + ... + 65877.

Almost surely, 22001001113 is an apocalyptic number.

It is an amenable number.

2001001113 is a deficient number, since it is larger than the sum of its proper divisors (1002392423).

2001001113 is a wasteful number, since it uses less digits than its factorization.

2001001113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47685 (or 47682 counting only the distinct ones).

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

The square root of 2001001113 is about 44732.5509332969. The cubic root of 2001001113 is about 1260.1312353859.

Adding to 2001001113 its reverse (3111001002), we get a palindrome (5112002115).

The spelling of 2001001113 in words is "two billion, one million, one thousand, one hundred thirteen".

Divisors: 1 3 9 31 93 151 279 453 1359 4681 14043 42129 47497 142491 427473 1472407 4417221 7172047 13251663 21516141 64548423 222333457 667000371 2001001113