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13112324122401 = 347292473322459
BaseRepresentation
bin1011111011001111001101…
…1010111110011100100001
31201102112012102011011020000
42332303303122332130201
53204313014433404101
643515415112210213
72522222421032040
oct276636332763441
951375172134200
1013112324122401
1141a59a6147419
12157930a999969
1374164382507a
143348d5b56557
1517b135818486
hexbecf36be721

13112324122401 has 80 divisors (see below), whose sum is σ = 23167125801600. Its totient is φ = 7231437948672.

The previous prime is 13112324122357. The next prime is 13112324122421. The reversal of 13112324122401 is 10422142321131.

13112324122401 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 2 + 3 + 2 + 412 + 240 + 1 = 666.

It is not a de Polignac number, because 13112324122401 - 218 = 13112323860257 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13112324122421) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 40502310 + ... + 40824768.

It is an arithmetic number, because the mean of its divisors is an integer number (289589072520).

Almost surely, 213112324122401 is an apocalyptic number.

It is an amenable number.

13112324122401 is a deficient number, since it is larger than the sum of its proper divisors (10054801679199).

13112324122401 is a wasteful number, since it uses less digits than its factorization.

13112324122401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324980 (or 324971 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 13112324122401 its reverse (10422142321131), we get a palindrome (23534466443532).

The spelling of 13112324122401 in words is "thirteen trillion, one hundred twelve billion, three hundred twenty-four million, one hundred twenty-two thousand, four hundred one".

Divisors: 1 3 7 9 21 27 29 63 81 87 189 203 261 567 609 783 1827 2349 2473 5481 7419 16443 17311 22257 51933 66771 71717 155799 200313 215151 322459 467397 502019 645453 967377 1402191 1506057 1936359 2257213 2902131 4518171 5809077 6771639 8706393 9351311 13554513 20314917 26119179 28053933 40663539 60944751 65459177 84161799 182834253 196377531 252485397 589132593 757456191 797441107 1767397779 2392323321 5302193337 5582087749 7176969963 16746263247 21530909889 23125792103 50238789741 64592729667 69377376309 150716369223 161880544721 208132128927 452149107669 485641634163 624396386781 1456924902489 1873189160343 4370774707467 13112324122401