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113313114124301 = 7313179433932719
BaseRepresentation
bin11001110000111011000011…
…111010100111000000001101
3112212012121221202021121212202
4121300323003322213000031
5104323010224203434201
61040555154225411245
732603413413104000
oct3160730372470015
9485177852247782
10113313114124301
1133117904946923
1210860a10799b25
134b2c4c484c310
141dda553931537
15d17802aabc6b
hex670ec3ea700d

113313114124301 has 64 divisors (see below), whose sum is σ = 143140838400000. Its totient is φ = 89130198661056.

The previous prime is 113313114124291. The next prime is 113313114124349. The reversal of 113313114124301 is 103421411313311.

It is a happy number.

It is not a de Polignac number, because 113313114124301 - 210 = 113313114123277 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113313114124351) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 3463204220 + ... + 3463236938.

It is an arithmetic number, because the mean of its divisors is an integer number (2236575600000).

Almost surely, 2113313114124301 is an apocalyptic number.

It is an amenable number.

113313114124301 is a deficient number, since it is larger than the sum of its proper divisors (29827724275699).

113313114124301 is a wasteful number, since it uses less digits than its factorization.

113313114124301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37271 (or 37257 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

Adding to 113313114124301 its reverse (103421411313311), we get a palindrome (216734525437612).

The spelling of 113313114124301 in words is "one hundred thirteen trillion, three hundred thirteen billion, one hundred fourteen million, one hundred twenty-four thousand, three hundred one".

Divisors: 1 7 13 49 91 179 343 637 1253 2327 4339 4459 8771 16289 30373 32719 56407 61397 114023 212611 229033 394849 425347 776681 798161 1488277 1603231 2763943 2977429 5436767 5856701 10096853 11222617 19347601 20842003 38057369 40996907 70677971 76137113 141967741 145894021 266401583 286978349 494745797 532959791 993774187 1845580633 2008848443 3463220579 3730718537 6956419309 12919064431 25412225639 26115029759 48694935163 90433451017 177885579473 330358933307 633034157119 1245199056311 2312512533149 8716393394177 16187587732043 113313114124301