Search a number
-
+
305235111132 = 22337403750147
BaseRepresentation
bin1000111000100010110…
…11100010110011011100
31002011212100201020011000
410130101123202303130
520000110142024012
6352120103430300
731024003431120
oct4342133426334
91064770636130
10305235111132
111084a4298826
124b1a6755390
1322a255b8cc3
1410ab8525580
157e170a7ddc
hex47116e2cdc

305235111132 has 48 divisors (see below), whose sum is σ = 904400331520. Its totient is φ = 87210031536.

The previous prime is 305235111079. The next prime is 305235111133. The reversal of 305235111132 is 231111532503.

305235111132 is a `hidden beast` number, since 3 + 0 + 523 + 5 + 1 + 1 + 1 + 132 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 305235111096 and 305235111105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305235111133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201874318 + ... + 201875829.

Almost surely, 2305235111132 is an apocalyptic number.

It is an amenable number.

305235111132 is an abundant number, since it is smaller than the sum of its proper divisors (599165220388).

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

305235111132 is a wasteful number, since it uses less digits than its factorization.

305235111132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403750167 (or 403750159 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

Adding to 305235111132 its reverse (231111532503), we get a palindrome (536346643635).

The spelling of 305235111132 in words is "three hundred five billion, two hundred thirty-five million, one hundred eleven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 403750147 807500294 1211250441 1615000588 2422500882 2826251029 3633751323 4845001764 5652502058 7267502646 8478753087 10901253969 11305004116 14535005292 16957506174 21802507938 25436259261 33915012348 43605015876 50872518522 76308777783 101745037044 152617555566 305235111132