Search a number
-
+
2001012300000 = 2532557317621
BaseRepresentation
bin11101000111100101101…
…000001001100011100000
321002021221222200000111200
4131013211220021203200
5230241033122100000
64131130302041200
7264365643625020
oct35074550114340
97067858600450
102001012300000
1170169630585a
12283986b79200
131169051b9c5c
146cbc70bda80
15370b6cdd500
hex1d1e5a098e0

2001012300000 has 432 divisors, whose sum is σ = 8128617797664. Its totient is φ = 457372800000.

The previous prime is 2001012299999. The next prime is 2001012300047. The reversal of 2001012300000 is 32101002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6141190 + ... + 6458810.

It is an arithmetic number, because the mean of its divisors is an integer number (18816244902).

Almost surely, 22001012300000 is an apocalyptic number.

2001012300000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001012300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4064308898832).

2001012300000 is an abundant number, since it is smaller than the sum of its proper divisors (6127605497664).

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

2001012300000 is an equidigital number, since it uses as much as digits as its factorization.

2001012300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317669 (or 317638 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 2001012300000 its reverse (32101002), we get a palindrome (2001044401002).

The spelling of 2001012300000 in words is "two trillion, one billion, twelve million, three hundred thousand".