Search a number
-
+
130131131100 = 223521931772019
BaseRepresentation
bin111100100110001101…
…0110111101011011100
3110102220001200101200020
41321030122313223130
54113002032143400
6135440441432140
712254525235525
oct1711432675334
9412801611606
10130131131100
11502086a3943
122127879b650
13c36b0c80b9
146426a8184c
1535b96172a0
hex1e4c6b7adc

130131131100 has 144 divisors (see below), whose sum is σ = 397584969600. Its totient is φ = 32771070720.

The previous prime is 130131131093. The next prime is 130131131111. The reversal of 130131131100 is 1131131031.

It is a super-2 number, since 2×1301311311002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 130131131100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1770891 + ... + 1842909.

Almost surely, 2130131131100 is an apocalyptic number.

130131131100 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 130131131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198792484800).

130131131100 is an abundant number, since it is smaller than the sum of its proper divisors (267453838500).

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

130131131100 is a wasteful number, since it uses less digits than its factorization.

130131131100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72372 (or 72365 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 130131131100 its reverse (1131131031), we get a palindrome (131262262131).

The spelling of 130131131100 in words is "one hundred thirty billion, one hundred thirty-one million, one hundred thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 317 380 475 570 634 950 951 1140 1268 1425 1585 1900 1902 2850 3170 3804 4755 5700 6023 6340 7925 9510 12046 15850 18069 19020 23775 24092 30115 31700 36138 47550 60230 72019 72276 90345 95100 120460 144038 150575 180690 216057 288076 301150 360095 361380 432114 451725 602300 720190 864228 903450 1080285 1368361 1440380 1800475 1806900 2160570 2736722 3600950 4105083 4321140 5401425 5473444 6841805 7201900 8210166 10802850 13683610 16420332 20525415 21605700 22830023 27367220 34209025 41050830 45660046 68418050 68490069 82101660 91320092 102627075 114150115 136836100 136980138 205254150 228300230 273960276 342450345 410508300 433770437 456600460 570750575 684900690 867540874 1141501150 1301311311 1369801380 1712251725 1735081748 2168852185 2283002300 2602622622 3424503450 4337704370 5205245244 6506556555 6849006900 8675408740 10844260925 13013113110 21688521850 26026226220 32532782775 43377043700 65065565550 130131131100