Search a number
-
+
331022021220 = 223551143143999
BaseRepresentation
bin1001101000100100111…
…00110011001001100100
31011122102111022222200000
410310102130303021210
520410413114134340
6412022554421300
732626014520032
oct4642234631144
91148374288600
10331022021220
11118427334a70
12541a2731830
13252a4b71297
14120431cb552
158925db8d30
hex4d12733264

331022021220 has 288 divisors, whose sum is σ = 1162377216000. Its totient is φ = 78380991360.

The previous prime is 331022021191. The next prime is 331022021237. The reversal of 331022021220 is 22120220133.

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 = 331022021193 and 331022021202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2226781 + ... + 2370779.

It is an arithmetic number, because the mean of its divisors is an integer number (4036032000).

Almost surely, 2331022021220 is an apocalyptic number.

331022021220 is a gapful number since it is divisible by the number (30) 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 331022021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581188608000).

331022021220 is an abundant number, since it is smaller than the sum of its proper divisors (831355194780).

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

331022021220 is a wasteful number, since it uses less digits than its factorization.

331022021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144077 (or 144063 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 331022021220 its reverse (22120220133), we get a palindrome (353142241353).

The spelling of 331022021220 in words is "three hundred thirty-one billion, twenty-two million, twenty-one thousand, two hundred twenty".