Search a number
-
+
300232132002 = 2321119293774377
BaseRepresentation
bin1000101111001110011…
…10101100010110100010
31001200221200201112222200
410113213032230112202
514404333411211002
6345531424314030
730456014005125
oct4274716542642
91050850645880
10300232132002
11106367236530
124a22b172916
1322408c5641a
1410761cca3bc
157c22c63b1c
hex45e73ac5a2

300232132002 has 192 divisors, whose sum is σ = 793643011200. Its totient is φ = 80968688640.

The previous prime is 300232132001. The next prime is 300232132027. The reversal of 300232132002 is 200231232003.

It is a happy number.

300232132002 is a `hidden beast` number, since 300 + 23 + 21 + 320 + 0 + 2 = 666.

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 (300232132001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3999438 + ... + 4073814.

It is an arithmetic number, because the mean of its divisors is an integer number (4133557350).

Almost surely, 2300232132002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 300232132002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396821505600).

300232132002 is an abundant number, since it is smaller than the sum of its proper divisors (493410879198).

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

300232132002 is a wasteful number, since it uses less digits than its factorization.

300232132002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74481 (or 74478 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 300232132002 its reverse (200231232003), we get a palindrome (500463364005).

It can be divided in two parts, 300232 and 132002, that added together give a palindrome (432234).

The spelling of 300232132002 in words is "three hundred billion, two hundred thirty-two million, one hundred thirty-two thousand, two".