Search a number
-
+
130031130000 = 2435417254963
BaseRepresentation
bin111100100011001110…
…1011001010110010000
3110102122002111210221210
41321012131121112100
54112300432130000
6135422510220120
712252202240242
oct1710635312620
9412562453853
10130031130000
1150167201602
122124b1b4640
13c353483c55
146417690092
1535b0962350
hex1e46759590

130031130000 has 200 divisors, whose sum is σ = 444451205088. Its totient is φ = 32635136000.

The previous prime is 130031129999. The next prime is 130031130029. The reversal of 130031130000 is 31130031.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 382519 + ... + 637481.

Almost surely, 2130031130000 is an apocalyptic number.

130031130000 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 130031130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222225602544).

130031130000 is an abundant number, since it is smaller than the sum of its proper divisors (314420075088).

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

130031130000 is a wasteful number, since it uses less digits than its factorization.

130031130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255011 (or 254990 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 130031130000 its reverse (31130031), we get a palindrome (130062260031).

The spelling of 130031130000 in words is "one hundred thirty billion, thirty-one million, one hundred thirty thousand".