Search a number
-
+
130113013100 = 22527185875733
BaseRepresentation
bin111100100101101010…
…1110000010101101100
3110102211210120220110012
41321023111300111230
54112432412404400
6135434553232352
712254215235420
oct1711325602554
9412753526405
10130113013100
11501a9449594
12212727026b8
13c3674234a5
1464244c6b80
1535b7c38d35
hex1e4b57056c

130113013100 has 36 divisors (see below), whose sum is σ = 322680274224. Its totient is φ = 44610175680.

The previous prime is 130113013097. The next prime is 130113013123. The reversal of 130113013100 is 1310311031.

It is a happy number.

It is a super-3 number, since 3×1301130131003 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 92937167 + ... + 92938566.

Almost surely, 2130113013100 is an apocalyptic number.

130113013100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130113013100 is an abundant number, since it is smaller than the sum of its proper divisors (192567261124).

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

130113013100 is a wasteful number, since it uses less digits than its factorization.

130113013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185875754 (or 185875747 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 130113013100 its reverse (1310311031), we get a palindrome (131423324131).

The spelling of 130113013100 in words is "one hundred thirty billion, one hundred thirteen million, thirteen thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 185875733 371751466 743502932 929378665 1301130131 1858757330 2602260262 3717514660 4646893325 5204520524 6505650655 9293786650 13011301310 18587573300 26022602620 32528253275 65056506550 130113013100