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2001010008 = 233731142129
BaseRepresentation
bin111011101000100…
…1111110101011000
312011110020211200210
41313101033311120
513044224310013
6530320331120
7100405206264
oct16721176530
95143224623
102001010008
11937577488
1247a173aa0
1325b73bcba
1414da7d0a4
15baa11cc3
hex7744fd58

2001010008 has 32 divisors (see below), whose sum is σ = 5071057200. Its totient is φ = 657865728.

The previous prime is 2001010001. The next prime is 2001010009. The reversal of 2001010008 is 8000101002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2001009975 and 2001010002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001010001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 569313 + ... + 572816.

Almost surely, 22001010008 is an apocalyptic number.

It is an amenable number.

2001010008 is an abundant number, since it is smaller than the sum of its proper divisors (3070047192).

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

2001010008 is a wasteful number, since it uses less digits than its factorization.

2001010008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142211 (or 1142207 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 2001010008 is about 44732.6503574291. The cubic root of 2001010008 is about 1260.1331025930.

The spelling of 2001010008 in words is "two billion, one million, ten thousand, eight".

Divisors: 1 2 3 4 6 8 12 24 73 146 219 292 438 584 876 1752 1142129 2284258 3426387 4568516 6852774 9137032 13705548 27411096 83375417 166750834 250126251 333501668 500252502 667003336 1000505004 2001010008