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111302312814 = 23371153505061
BaseRepresentation
bin110011110101000100…
…0101000001101101110
3101122021211221022201000
41213222020220031232
53310421343002224
6123044230501130
711020114022550
oct1475210501556
9348254838630
10111302312814
1143226287aa0
12196a2b047a6
13a65a2647c4
14555c1474d0
152d665e30c9
hex19ea22836e

111302312814 has 128 divisors (see below), whose sum is σ = 314188968960. Its totient is φ = 28364169600.

The previous prime is 111302312813. The next prime is 111302312827. The reversal of 111302312814 is 418213203111.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111302312813) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32157 + ... + 472904.

It is an arithmetic number, because the mean of its divisors is an integer number (2454601320).

Almost surely, 2111302312814 is an apocalyptic number.

111302312814 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 111302312814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157094484480).

111302312814 is an abundant number, since it is smaller than the sum of its proper divisors (202886656146).

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

111302312814 is a wasteful number, since it uses less digits than its factorization.

111302312814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505143 (or 505137 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 111302312814 its reverse (418213203111), we get a palindrome (529515515925).

The spelling of 111302312814 in words is "one hundred eleven billion, three hundred two million, three hundred twelve thousand, eight hundred fourteen".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 53 54 63 66 77 99 106 126 154 159 189 198 231 297 318 371 378 462 477 583 594 693 742 954 1113 1166 1386 1431 1749 2079 2226 2862 3339 3498 4081 4158 5247 6678 8162 10017 10494 12243 15741 20034 24486 31482 36729 73458 110187 220374 505061 1010122 1515183 3030366 3535427 4545549 5555671 7070854 9091098 10606281 11111342 13636647 16667013 21212562 26768233 27273294 31818843 33334026 38889697 50001039 53536466 63637686 77779394 80304699 95456529 100002078 116669091 150003117 160609398 187377631 190913058 233338182 240914097 294450563 300006234 350007273 374755262 481828194 562132893 588901126 700014546 722742291 883351689 1050021819 1124265786 1445484582 1686398679 1766703378 2061153941 2100043638 2650055067 3372797358 4122307882 5059196037 5300110134 6183461823 7950165201 10118392074 12366923646 15900330402 18550385469 37100770938 55651156407 111302312814