Search a number
-
+
13132032301100 = 2252179779636339
BaseRepresentation
bin1011111100011000101000…
…0111101101100000101100
31201111102001220120100220102
42333012022013231200230
53210123400232113400
643532434455010232
72523521000552006
oct277061207554054
951442056510812
1013132032301100
114203299978809
1215810ab069978
1374346490677b
14335845397376
1517b8dab3d9d5
hexbf18a1ed82c

13132032301100 has 72 divisors (see below), whose sum is σ = 30483835315920. Its totient is φ = 4892856606720.

The previous prime is 13132032301061. The next prime is 13132032301121. The reversal of 13132032301100 is 110323023131.

13132032301100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×131320323011002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39653270 + ... + 39983069.

It is an arithmetic number, because the mean of its divisors is an integer number (423386601610).

Almost surely, 213132032301100 is an apocalyptic number.

13132032301100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13132032301100 is an abundant number, since it is smaller than the sum of its proper divisors (17351803014820).

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

13132032301100 is a wasteful number, since it uses less digits than its factorization.

13132032301100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79636467 (or 79636460 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 13132032301100 its reverse (110323023131), we get a palindrome (13242355324231).

The spelling of 13132032301100 in words is "thirteen trillion, one hundred thirty-two billion, thirty-two million, three hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 97 100 170 194 340 388 425 485 850 970 1649 1700 1940 2425 3298 4850 6596 8245 9700 16490 32980 41225 82450 164900 79636339 159272678 318545356 398181695 796363390 1353817763 1592726780 1990908475 2707635526 3981816950 5415271052 6769088815 7724724883 7963633900 13538177630 15449449766 27076355260 30898899532 33845444075 38623624415 67690888150 77247248830 131320323011 135381776300 154494497660 193118122075 262640646022 386236244150 525281292044 656601615055 772472488300 1313203230110 2626406460220 3283008075275 6566016150550 13132032301100