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13134541320045 = 335232838721929
BaseRepresentation
bin1011111100100001111110…
…1010110110111101101101
31201111122112202201201212000
42333020133222312331231
53210144020034220140
643533531444002513
72523640115063025
oct277103752667555
951448482651760
1013134541320045
114204367181892
12158168b390439
13743774673072
14335a026b4a85
1517b9d604ba30
hexbf21fab6f6d

13134541320045 has 96 divisors (see below), whose sum is σ = 24413690044800. Its totient is φ = 6699415193856.

The previous prime is 13134541319993. The next prime is 13134541320071. The reversal of 13134541320045 is 54002314543131.

13134541320045 is a `hidden beast` number, since 1 + 3 + 1 + 34 + 5 + 413 + 200 + 4 + 5 = 666.

It is not a de Polignac number, because 13134541320045 - 223 = 13134532931437 is a prime.

It is a super-2 number, since 2×131345413200452 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13134541319991 and 13134541320009.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 598946641 + ... + 598968569.

It is an arithmetic number, because the mean of its divisors is an integer number (254309271300).

Almost surely, 213134541320045 is an apocalyptic number.

13134541320045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13134541320045 is a deficient number, since it is larger than the sum of its proper divisors (11279148724755).

13134541320045 is a wasteful number, since it uses less digits than its factorization.

13134541320045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30376 (or 30347 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 13134541320045 its reverse (54002314543131), we get a palindrome (67136855863176).

The spelling of 13134541320045 in words is "thirteen trillion, one hundred thirty-four billion, five hundred forty-one million, three hundred twenty thousand, forty-five".

Divisors: 1 3 5 9 15 23 27 45 69 115 135 207 345 529 621 1035 1587 2645 3105 4761 7935 8387 14283 21929 23805 25161 41935 65787 71415 75483 109645 125805 192901 197361 226449 328935 377415 504367 578703 592083 964505 986805 1132245 1513101 1736109 2521835 2893515 2960415 4436723 4539303 5208327 7565505 8680545 11600441 13310169 13617909 22183615 22696515 26041635 34801323 39930507 58002205 66550845 68089545 104403969 119791521 174006615 183918523 199652535 313211907 522019845 551755569 598957605 919592615 1566059535 1655266707 2758777845 4230126029 4965800121 8276333535 12690378087 21150630145 24829000605 38071134261 63451890435 97292898667 114213402783 190355671305 291878696001 486464493335 571067013915 875636088003 1459393480005 2626908264009 4378180440015 13134541320045