Search a number
-
+
2331010330000 = 245411113187531
BaseRepresentation
bin100001111010111011000…
…010101110110110010000
322020211202010011212021221
4201322323002232312100
5301142402121030000
64542503521054424
7330260415612652
oct41727302566620
98224663155257
102331010330000
1181963761aa90
12317922787414
1313ba75b71071
1480b702b66d2
154097cd3761a
hex21ebb0aed90

2331010330000 has 200 divisors, whose sum is σ = 6211181360736. Its totient is φ = 840134400000.

The previous prime is 2331010329961. The next prime is 2331010330001. The reversal of 2331010330000 is 330101332.

2331010330000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2331010330001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12336235 + ... + 12523765.

Almost surely, 22331010330000 is an apocalyptic number.

2331010330000 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 2331010330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3105590680368).

2331010330000 is an abundant number, since it is smaller than the sum of its proper divisors (3880171030736).

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

2331010330000 is a wasteful number, since it uses less digits than its factorization.

2331010330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187683 (or 187662 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 2331010330000 its reverse (330101332), we get a palindrome (2331340431332).

The spelling of 2331010330000 in words is "two trillion, three hundred thirty-one billion, ten million, three hundred thirty thousand".