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111321420 = 223572391109
BaseRepresentation
bin1101010001010…
…10000101001100
321202110201021120
412220222011030
5211444241140
615014000540
72521134150
oct650520514
9252421246
10111321420
1157924481
1231346150
131a0a8982
1410adb060
159b8e1d0
hex6a2a14c

111321420 has 96 divisors (see below), whose sum is σ = 358041600. Its totient is φ = 25315584.

The previous prime is 111321407. The next prime is 111321421. The reversal of 111321420 is 24123111.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 111321420.

It is not an unprimeable number, because it can be changed into a prime (111321421) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 99826 + ... + 100934.

It is an arithmetic number, because the mean of its divisors is an integer number (3729600).

Almost surely, 2111321420 is an apocalyptic number.

111321420 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 111321420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179020800).

111321420 is an abundant number, since it is smaller than the sum of its proper divisors (246720180).

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

111321420 is a wasteful number, since it uses less digits than its factorization.

111321420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 111321420 is about 10550.8966443616. The cubic root of 111321420 is about 481.0529835034.

Adding to 111321420 its reverse (24123111), we get a palindrome (135444531).

The spelling of 111321420 in words is "one hundred eleven million, three hundred twenty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 239 420 478 717 956 1109 1195 1434 1673 2218 2390 2868 3327 3346 3585 4436 4780 5019 5545 6654 6692 7170 7763 8365 10038 11090 13308 14340 15526 16635 16730 20076 22180 23289 25095 31052 33270 33460 38815 46578 50190 66540 77630 93156 100380 116445 155260 232890 265051 465780 530102 795153 1060204 1325255 1590306 1855357 2650510 3180612 3710714 3975765 5301020 5566071 7421428 7951530 9276785 11132142 15903060 18553570 22264284 27830355 37107140 55660710 111321420