Search a number
-
+
21233131321320 = 233552206798993
BaseRepresentation
bin1001101001111101110010…
…01111111111011111101000
32210011212102102121010100000
410310332321033333133220
510240340423104240240
6113054211005543000
74321020534222312
oct464767117773750
983155372533300
1021233131321320
116846a140a2216
12246b158874a60
13bb0377907089
14535990a1c7b2
1526c4c852e430
hex134fb93ff7e8

21233131321320 has 192 divisors, whose sum is σ = 71567482633920. Its totient is φ = 5661854567424.

The previous prime is 21233131321309. The next prime is 21233131321361. The reversal of 21233131321320 is 2312313133212.

21233131321320 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 3 + 1 + 313 + 21 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 214441744 + ... + 214540736.

It is an arithmetic number, because the mean of its divisors is an integer number (372747305385).

Almost surely, 221233131321320 is an apocalyptic number.

21233131321320 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 21233131321320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35783741316960).

21233131321320 is an abundant number, since it is smaller than the sum of its proper divisors (50334351312600).

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

21233131321320 is a wasteful number, since it uses less digits than its factorization.

21233131321320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121086 (or 121070 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 21233131321320 its reverse (2312313133212), we get a palindrome (23545444454532).

The spelling of 21233131321320 in words is "twenty-one trillion, two hundred thirty-three billion, one hundred thirty-one million, three hundred twenty-one thousand, three hundred twenty".