Search a number
-
+
1003232130300 = 2232523783362977
BaseRepresentation
bin11101001100101010100…
…10110111010011111100
310112220111222020122201200
432212111102313103330
5112414104411132200
62044513430135500
7132324012256311
oct16462522672374
93486458218650
101003232130300
11357517424264
121425244b1590
13737b1aa6b8a
14367b17d6d08
151b16a3ae800
hexe9954b74fc

1003232130300 has 216 divisors, whose sum is σ = 3268483314096. Its totient is φ = 257161236480.

The previous prime is 1003232130253. The next prime is 1003232130301. The reversal of 1003232130300 is 30312323001.

1003232130300 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 232 + 130 + 300 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003232130301) 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 71 ways as a sum of consecutive naturals, for example, 2582412 + ... + 2945388.

Almost surely, 21003232130300 is an apocalyptic number.

1003232130300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1003232130300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1634241657048).

1003232130300 is an abundant number, since it is smaller than the sum of its proper divisors (2265251183796).

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

1003232130300 is a wasteful number, since it uses less digits than its factorization.

1003232130300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363117 (or 363107 counting only the distinct ones).

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

Adding to 1003232130300 its reverse (30312323001), we get a palindrome (1033544453301).

The spelling of 1003232130300 in words is "one trillion, three billion, two hundred thirty-two million, one hundred thirty thousand, three hundred".