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13132320110100 = 2233524863822263
BaseRepresentation
bin1011111100011001101101…
…0001100111011000010100
31201111102210222010120122000
42333012123101213120110
53210124442422010400
643532523215435300
72523531064105212
oct277063321473024
951442728116560
1013132320110100
114203427385994
12158116b525b30
137434ac426659
143358716b5cb2
1517b906040600
hexbf19b467614

13132320110100 has 72 divisors (see below), whose sum is σ = 42217977251520. Its totient is φ = 3501952028640.

The previous prime is 13132320110089. The next prime is 13132320110111. The reversal of 13132320110100 is 101102323131.

13132320110100 is a `hidden beast` number, since 1 + 3 + 132 + 320 + 110 + 100 = 666.

It is an interprime number because it is at equal distance from previous prime (13132320110089) and next prime (13132320110111).

It is a super-2 number, since 2×131323201101002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2431908432 + ... + 2431913831.

It is an arithmetic number, because the mean of its divisors is an integer number (586360795160).

Almost surely, 213132320110100 is an apocalyptic number.

13132320110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13132320110100 is an abundant number, since it is smaller than the sum of its proper divisors (29085657141420).

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

13132320110100 is a wasteful number, since it uses less digits than its factorization.

13132320110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4863822286 (or 4863822273 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13132320110100 its reverse (101102323131), we get a palindrome (13233422433231).

The spelling of 13132320110100 in words is "thirteen trillion, one hundred thirty-two billion, three hundred twenty million, one hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 4863822263 9727644526 14591466789 19455289052 24319111315 29182933578 43774400367 48638222630 58365867156 72957333945 87548800734 97276445260 121595556575 131323201101 145914667890 175097601468 218872001835 243191113150 262646402202 291829335780 364786669725 437744003670 486382226300 525292804404 656616005505 729573339450 875488007340 1094360009175 1313232011010 1459146678900 2188720018350 2626464022020 3283080027525 4377440036700 6566160055050 13132320110100