Search a number
-
+
300331020132 = 223611132173259
BaseRepresentation
bin1000101111011010001…
…11111010111101100100
31001201012120210121000000
410113231013322331210
514410034220121012
6345545320021300
730461324356533
oct4275507727544
91051176717000
10300331020132
11106408038660
124a258301830
132242359ab00
14107710ac31a
157c2b798ddc
hex45ed1faf64

300331020132 has 504 divisors, whose sum is σ = 985917653280. Its totient is φ = 79042728960.

The previous prime is 300331020127. The next prime is 300331020137. The reversal of 300331020132 is 231020133003.

300331020132 is a `hidden beast` number, since 300 + 3 + 310 + 20 + 1 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (300331020127) and next prime (300331020137).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (300331020137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 92152719 + ... + 92155977.

It is an arithmetic number, because the mean of its divisors is an integer number (1956185820).

Almost surely, 2300331020132 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 300331020132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492958826640).

300331020132 is an abundant number, since it is smaller than the sum of its proper divisors (685586633148).

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

300331020132 is a wasteful number, since it uses less digits than its factorization.

300331020132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3335 (or 3305 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 300331020132 its reverse (231020133003), we get a palindrome (531351153135).

The spelling of 300331020132 in words is "three hundred billion, three hundred thirty-one million, twenty thousand, one hundred thirty-two".