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221303011111314 = 231123956331524431
BaseRepresentation
bin110010010100011000011111…
…010111010111000110010010
31002000120100202100101022122120
4302110120133113113012102
5213001312031321030224
62102401111053515110
764420420630132236
oct6224303727270622
91060510670338576
10221303011111314
1164572097462020
12209a200a7a2a96
139663a27441c02
143c911a12c65c6
151a8b8ec386779
hexc9461f5d7192

221303011111314 has 64 divisors (see below), whose sum is σ = 503841703292928. Its totient is φ = 64145087494400.

The previous prime is 221303011111313. The next prime is 221303011111321. The reversal of 221303011111314 is 413111110303122.

221303011111314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (221303011111313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144408679 + ... + 145933109.

It is an arithmetic number, because the mean of its divisors is an integer number (7872526613952).

Almost surely, 2221303011111314 is an apocalyptic number.

221303011111314 is an abundant number, since it is smaller than the sum of its proper divisors (282538692181614).

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

221303011111314 is a wasteful number, since it uses less digits than its factorization.

221303011111314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1620103.

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 221303011111314 its reverse (413111110303122), we get a palindrome (634414121414436).

The spelling of 221303011111314 in words is "two hundred twenty-one trillion, three hundred three billion, eleven million, one hundred eleven thousand, three hundred fourteen".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 253 506 759 1518 95633 191266 286899 573798 1051963 1524431 2103926 2199559 3048862 3155889 4399118 4573293 6311778 6598677 9146586 13197354 16768741 24195149 33537482 35061913 48390298 50306223 70123826 72585447 100612446 105185739 145170894 210371478 385681043 771362086 1157043129 2314086258 145785909823 291571819646 437357729469 874715458938 1603645008053 3207290016106 3353075925929 4810935024159 6706151851858 9621870048318 10059227777787 20118455555574 36883835185219 73767670370438 110651505555657 221303011111314