Search a number
-
+
332020133213020 = 225725340977320219
BaseRepresentation
bin100101101111110000111011…
…0000110010011001101011100
31121112120210222221200101110121
41023133201312012103031130
5322004304213100304040
63134051535445044324
7126635443263153400
oct11337416606231534
91545523887611417
10332020133213020
1196878a474a728a
12312a38869b66a4
1311335497255115
145bdbc08513100
15285b913de6c4a
hex12df87619335c

332020133213020 has 288 divisors, whose sum is σ = 829514294884800. Its totient is φ = 111264924266496.

The previous prime is 332020133212969. The next prime is 332020133213033. The reversal of 332020133213020 is 20312331020233.

It is a super-2 number, since 2×3320201332130202 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16421184471 + ... + 16421204689.

It is an arithmetic number, because the mean of its divisors is an integer number (2880257968350).

Almost surely, 2332020133213020 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 332020133213020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414757147442400).

332020133213020 is an abundant number, since it is smaller than the sum of its proper divisors (497494161671780).

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

332020133213020 is a wasteful number, since it uses less digits than its factorization.

332020133213020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21477 (or 21468 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 332020133213020 its reverse (20312331020233), we get a palindrome (352332464233253).

The spelling of 332020133213020 in words is "three hundred thirty-two trillion, twenty billion, one hundred thirty-three million, two hundred thirteen thousand, twenty".