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111241340 = 225723179193
BaseRepresentation
bin1101010000101…
…10100001111100
321202022122102122
412220112201330
5211434210330
615012142112
72520351530
oct650264174
9252278378
10111241340
115787a2a1
1231307938
131a07b3a2
1410ab9bc0
159b755e5
hex6a1687c

111241340 has 96 divisors (see below), whose sum is σ = 281594880. Its totient is φ = 36089856.

The previous prime is 111241337. The next prime is 111241343. The reversal of 111241340 is 43142111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (111241337) and next prime (111241343).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111241343) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 576284 + ... + 576476.

It is an arithmetic number, because the mean of its divisors is an integer number (2933280).

Almost surely, 2111241340 is an apocalyptic number.

111241340 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 111241340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140797440).

111241340 is an abundant number, since it is smaller than the sum of its proper divisors (170353540).

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

111241340 is a wasteful number, since it uses less digits than its factorization.

111241340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 111241340 is about 10547.1010235040. The cubic root of 111241340 is about 480.9376059962.

Adding to 111241340 its reverse (43142111), we get a palindrome (154383451).

The spelling of 111241340 in words is "one hundred eleven million, two hundred forty-one thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 179 193 230 322 358 386 460 644 716 772 805 895 965 1253 1351 1610 1790 1930 2506 2702 3220 3580 3860 4117 4439 5012 5404 6265 6755 8234 8878 12530 13510 16468 17756 20585 22195 25060 27020 28819 31073 34547 41170 44390 57638 62146 69094 82340 88780 115276 124292 138188 144095 155365 172735 241829 288190 310730 345470 483658 576380 621460 690940 794581 967316 1209145 1589162 2418290 3178324 3972905 4836580 5562067 7945810 11124134 15891620 22248268 27810335 55620670 111241340