Search a number
-
+
331021240000 = 2654113720333
BaseRepresentation
bin1001101000100100110…
…01110100011011000000
31011122102102212022000221
410310102121310123000
520410412414140000
6412022525552424
732626005054313
oct4642231643300
91148372768027
10331021240000
11118426951030
12541a2415714
13252a4959819
141204306697a
158925cb261a
hex4d126746c0

331021240000 has 280 divisors, whose sum is σ = 919692016848. Its totient is φ = 117112320000.

The previous prime is 331021239959. The next prime is 331021240003. The reversal of 331021240000 is 42120133.

It is a happy number.

It is a super-2 number, since 2×3310212400002 (a number of 24 digits) contains 22 as substring.

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 (331021240003) 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, 16269834 + ... + 16290166.

Almost surely, 2331021240000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331021240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459846008424).

331021240000 is an abundant number, since it is smaller than the sum of its proper divisors (588670776848).

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

331021240000 is a wasteful number, since it uses less digits than its factorization.

331021240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20413 (or 20388 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 331021240000 its reverse (42120133), we get a palindrome (331063360133).

The spelling of 331021240000 in words is "three hundred thirty-one billion, twenty-one million, two hundred forty thousand".