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13100132303232 = 273133178278313
BaseRepresentation
bin1011111010100001110010…
…1110111000000110000000
31201101100201202002120102220
42332220130232320012000
53204113032332200412
643510041231211040
72521311330212532
oct276503456700600
951340652076386
1013100132303232
1141a080a190207
121576a87976a80
1374044ca0baa0
1433409a885852
1517ab7030768c
hexbea1cbb8180

13100132303232 has 128 divisors (see below), whose sum is σ = 37592155006560. Its totient is φ = 4018093965312.

The previous prime is 13100132303227. The next prime is 13100132303233. The reversal of 13100132303232 is 23230323100131.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×131001323032322 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13100132303233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2556693 + ... + 5721620.

Almost surely, 213100132303232 is an apocalyptic number.

13100132303232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13100132303232 is an abundant number, since it is smaller than the sum of its proper divisors (24492022703328).

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

13100132303232 is a wasteful number, since it uses less digits than its factorization.

13100132303232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8278660 (or 8278648 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 13100132303232 its reverse (23230323100131), we get a palindrome (36330455403363).

The spelling of 13100132303232 in words is "thirteen trillion, one hundred billion, one hundred thirty-two million, three hundred three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 317 384 416 624 634 832 951 1248 1268 1664 1902 2496 2536 3804 4121 4992 5072 7608 8242 10144 12363 15216 16484 20288 24726 30432 32968 40576 49452 60864 65936 98904 121728 131872 197808 263744 395616 527488 791232 1582464 8278313 16556626 24834939 33113252 49669878 66226504 99339756 107618069 132453008 198679512 215236138 264906016 322854207 397359024 430472276 529812032 645708414 794718048 860944552 1059624064 1291416828 1589436096 1721889104 2582833656 2624225221 3178872192 3443778208 5165667312 5248450442 6887556416 7872675663 10331334624 10496900884 13775112832 15745351326 20662669248 20993801768 31490702652 34114927873 41325338496 41987603536 62981405304 68229855746 83975207072 102344783619 125962810608 136459711492 167950414144 204689567238 251925621216 272919422984 335900828288 409379134476 503851242432 545838845968 818758268952 1007702484864 1091677691936 1637516537904 2183355383872 3275033075808 4366710767744 6550066151616 13100132303232