Search a number
-
+
332302200020120 = 235112792816330859
BaseRepresentation
bin100101110001110100010001…
…0100101110001110010011000
31121120120210001200010211022002
41023203220202211301302120
5322023414401201120440
63134425305003420132
7126665020203361601
oct11343504245616230
91546523050124262
10332302200020120
11969776318a1300
123132a486524648
1311355c69944885
145c0b725a58da8
152863e21ee7115
hex12e3a22971c98

332302200020120 has 192 divisors, whose sum is σ = 832289459904000. Its totient is φ = 119299476890880.

The previous prime is 332302200020111. The next prime is 332302200020149. The reversal of 332302200020120 is 21020002203233.

It is a super-2 number, since 2×3323022000201202 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 332302200020092 and 332302200020101.

It is a congruent number.

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, 10768389251 + ... + 10768420109.

It is an arithmetic number, because the mean of its divisors is an integer number (4334840937000).

Almost surely, 2332302200020120 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 332302200020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416144729952000).

332302200020120 is an abundant number, since it is smaller than the sum of its proper divisors (499987259883880).

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

332302200020120 is a wasteful number, since it uses less digits than its factorization.

332302200020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59134 (or 59119 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 332302200020120 its reverse (21020002203233), we get a palindrome (353322202223353).

The spelling of 332302200020120 in words is "three hundred thirty-two trillion, three hundred two billion, two hundred million, twenty thousand, one hundred twenty".