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14022101324301 = 3723125357121349
BaseRepresentation
bin1100110000001100011001…
…0111100101001000001101
31211122111111100110120001020
43030003012113211020031
53314214230414334201
645453355303104353
72645030512455300
oct314030627451015
954574440416036
1014022101324301
114516815707764
1216a56b14420b9
137a9380a91435
1436695d866b37
15194b31393a36
hexcc0c65e520d

14022101324301 has 48 divisors (see below), whose sum is σ = 22451202316800. Its totient is φ = 7753787717760.

The previous prime is 14022101324233. The next prime is 14022101324377. The reversal of 14022101324301 is 10342310122041.

It is not a de Polignac number, because 14022101324301 - 27 = 14022101324173 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14022101322301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115491175 + ... + 115612523.

It is an arithmetic number, because the mean of its divisors is an integer number (467733381600).

Almost surely, 214022101324301 is an apocalyptic number.

It is an amenable number.

14022101324301 is a deficient number, since it is larger than the sum of its proper divisors (8429100992499).

14022101324301 is a wasteful number, since it uses less digits than its factorization.

14022101324301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146754 (or 146747 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 14022101324301 its reverse (10342310122041), we get a palindrome (24364411446342).

The spelling of 14022101324301 in words is "fourteen trillion, twenty-two billion, one hundred one million, three hundred twenty-four thousand, three hundred one".

Divisors: 1 3 7 21 31 49 93 147 217 651 1519 4557 25357 76071 121349 177499 364047 532497 786067 849443 1242493 2358201 2548329 3727479 3761819 5502469 5946101 11285457 16507407 17838303 26332733 38517283 78998199 115551849 184329131 552987393 3077046593 9231139779 21539326151 64617978453 95388444383 150775283057 286165333149 452325849171 667719110681 2003157332043 4674033774767 14022101324301