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2001313002330 = 234517771390409
BaseRepresentation
bin11101000111110111100…
…011001111001101011010
321002022201221111021120000
4131013313203033031122
5230242142112033310
64131220203113430
7264406254561135
oct35076743171532
97068657437500
102001313002330
11701830019984
12283a4b812876
131169525a2625
146cc14dd721c
15370d33da4c0
hex1d1f78cf35a

2001313002330 has 80 divisors (see below), whose sum is σ = 5384340478440. Its totient is φ = 533382755328.

The previous prime is 2001313002329. The next prime is 2001313002347. The reversal of 2001313002330 is 332003131002.

2001313002330 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 31 + 300 + 2 + 330 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1323353437641 + 677959564689 = 1150371^2 + 823383^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 744166 + ... + 2134574.

Almost surely, 22001313002330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001313002330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2692170239220).

2001313002330 is an abundant number, since it is smaller than the sum of its proper divisors (3383027476110).

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

2001313002330 is a wasteful number, since it uses less digits than its factorization.

2001313002330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392205 (or 1392196 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 2001313002330 its reverse (332003131002), we get a palindrome (2333316133332).

The spelling of 2001313002330 in words is "two trillion, one billion, three hundred thirteen million, two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 1777 3554 5331 8885 10662 15993 17770 26655 31986 47979 53310 79965 95958 143937 159930 239895 287874 479790 719685 1390409 1439370 2780818 4171227 6952045 8342454 12513681 13904090 20856135 25027362 37541043 41712270 62568405 75082086 112623129 125136810 187705215 225246258 375410430 563115645 1126231290 2470756793 4941513586 7412270379 12353783965 14824540758 22236811137 24707567930 37061351895 44473622274 66710433411 74122703790 111184055685 133420866822 200131300233 222368111370 333552167055 400262600466 667104334110 1000656501165 2001313002330