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2001301332030 = 23257112133754581
BaseRepresentation
bin11101000111110110110…
…110101110000000111110
321002022201010112100220200
4131013312312232000332
5230242131120111110
64131215105024330
7264406053434010
oct35076666560076
97068633470820
102001301332030
11701824478900
12283a479250a6
13116950047720
146cc1363a1b0
15370d23826c0
hex1d1f6dae03e

2001301332030 has 576 divisors, whose sum is σ = 7229671473024. Its totient is φ = 373484390400.

The previous prime is 2001301332001. The next prime is 2001301332047. The reversal of 2001301332030 is 302331031002.

2001301332030 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 301 + 332 + 0 + 30 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2001301331994 and 2001301332012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 36639340 + ... + 36693920.

It is an arithmetic number, because the mean of its divisors is an integer number (12551512974).

Almost surely, 22001301332030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001301332030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3614835736512).

2001301332030 is an abundant number, since it is smaller than the sum of its proper divisors (5228370140994).

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

2001301332030 is a wasteful number, since it uses less digits than its factorization.

2001301332030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54673 (or 54659 counting only the distinct ones).

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

Adding to 2001301332030 its reverse (302331031002), we get a palindrome (2303632363032).

The spelling of 2001301332030 in words is "two trillion, one billion, three hundred one million, three hundred thirty-two thousand, thirty".