Search a number
-
+
130228629300 = 2232527114739983
BaseRepresentation
bin111100101001000111…
…0110010111100110100
3110110010212010211001200
41321102032302330310
54113202012114200
6135454243252500
712260121041040
oct1712216627464
9413125124050
10130228629300
1150258736770
12212a537a130
13c385373c43
1464359c1020
1535c2e75800
hex1e523b2f34

130228629300 has 432 divisors, whose sum is σ = 519758733312. Its totient is φ = 26484076800.

The previous prime is 130228629299. The next prime is 130228629331. The reversal of 130228629300 is 3926822031.

130228629300 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 28 + 629 + 3 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3237109 + ... + 3277091.

It is an arithmetic number, because the mean of its divisors is an integer number (1203145216).

Almost surely, 2130228629300 is an apocalyptic number.

130228629300 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 130228629300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259879366656).

130228629300 is an abundant number, since it is smaller than the sum of its proper divisors (389530104012).

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

130228629300 is a wasteful number, since it uses less digits than its factorization.

130228629300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40068 (or 40058 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

It can be divided in two parts, 130228 and 629300, that added together give a triangular number (759528 = T1232).

The spelling of 130228629300 in words is "one hundred thirty billion, two hundred twenty-eight million, six hundred twenty-nine thousand, three hundred".