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111172014 = 2353147157
BaseRepresentation
bin1101010000001…
…01100110101110
321202012010100000
412220011212232
5211430001024
615010445130
72516642442
oct650054656
9252163300
10111172014
11578321a8
12312937a6
131a055975
1410a9c822
159b5ecc9
hex6a059ae

111172014 has 96 divisors (see below), whose sum is σ = 265015296. Its totient is φ = 34875360.

The previous prime is 111172001. The next prime is 111172057. The reversal of 111172014 is 410271111.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 708024 + ... + 708180.

It is an arithmetic number, because the mean of its divisors is an integer number (2760576).

Almost surely, 2111172014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111172014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132507648).

111172014 is an abundant number, since it is smaller than the sum of its proper divisors (153843282).

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

111172014 is a wasteful number, since it uses less digits than its factorization.

111172014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 18.

The square root of 111172014 is about 10543.8140158104. The cubic root of 111172014 is about 480.8376778907.

It can be divided in two parts, 11117 and 2014, that added together give a palindrome (13131).

The spelling of 111172014 in words is "one hundred eleven million, one hundred seventy-two thousand, fourteen".

Divisors: 1 2 3 6 9 18 27 31 47 54 62 81 93 94 141 157 162 186 243 279 282 314 423 471 486 558 837 846 942 1269 1413 1457 1674 2511 2538 2826 2914 3807 4239 4371 4867 5022 7379 7533 7614 8478 8742 9734 11421 12717 13113 14601 14758 15066 22137 22842 25434 26226 29202 38151 39339 43803 44274 66411 76302 78678 87606 118017 131409 132822 199233 228749 236034 262818 354051 394227 398466 457498 597699 686247 708102 788454 1182681 1195398 1372494 1793097 2058741 2365362 3586194 4117482 6176223 12352446 18528669 37057338 55586007 111172014