Search a number
-
+
332020320121100 = 22521329591271175351
BaseRepresentation
bin100101101111110001000000…
…1001111010011000100001100
31121112120211110222101022011002
41023133202001033103010030
5322004310103422333400
63134052010203115432
7126635451022643042
oct11337420117230414
91545524428338132
10332020320121100
1196879032a58076
12312a3919512b78
13113354c6ba7410
145bdbc25288392
15285b925516ed5
hex12df8813d310c

332020320121100 has 288 divisors, whose sum is σ = 822693744230400. Its totient is φ = 115442312832000.

The previous prime is 332020320121073. The next prime is 332020320121157. The reversal of 332020320121100 is 1121023020233.

It is a super-2 number, since 2×3320203201211002 (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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 281898425 + ... + 283073775.

It is an arithmetic number, because the mean of its divisors is an integer number (2856575500800).

Almost surely, 2332020320121100 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 332020320121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411346872115200).

332020320121100 is an abundant number, since it is smaller than the sum of its proper divisors (490673424109300).

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

332020320121100 is a wasteful number, since it uses less digits than its factorization.

332020320121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1175593 (or 1175586 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 332020320121100 its reverse (1121023020233), we get a palindrome (333141343141333).

The spelling of 332020320121100 in words is "three hundred thirty-two trillion, twenty billion, three hundred twenty million, one hundred twenty-one thousand, one hundred".