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111315340 = 22529281683
BaseRepresentation
bin1101010001010…
…00100110001100
321202110101221101
412220220212030
5211444042330
615013512444
72521110343
oct650504614
9252411841
10111315340
115791a954
1231342724
131a0a5c86
1410ad8b5a
159b8c4ca
hex6a2898c

111315340 has 48 divisors (see below), whose sum is σ = 243038880. Its totient is φ = 42775040.

The previous prime is 111315329. The next prime is 111315361. The reversal of 111315340 is 43513111.

It is a super-2 number, since 2×1113153402 = 24782209838631200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162639 + ... + 163321.

It is an arithmetic number, because the mean of its divisors is an integer number (5063310).

Almost surely, 2111315340 is an apocalyptic number.

111315340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111315340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121519440).

111315340 is an abundant number, since it is smaller than the sum of its proper divisors (131723540).

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

111315340 is a wasteful number, since it uses less digits than its factorization.

111315340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 111315340 is about 10550.6085132565. The cubic root of 111315340 is about 481.0442255142.

Adding to 111315340 its reverse (43513111), we get a palindrome (154828451).

It can be divided in two parts, 11131 and 5340, that added together give a triangular number (16471 = T181).

The spelling of 111315340 in words is "one hundred eleven million, three hundred fifteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 281 290 562 580 683 1124 1366 1405 2732 2810 3415 5620 6830 8149 13660 16298 19807 32596 39614 40745 79228 81490 99035 162980 191923 198070 383846 396140 767692 959615 1919230 3838460 5565767 11131534 22263068 27828835 55657670 111315340