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111401420 = 225132231433
BaseRepresentation
bin1101010001111…
…01100111001100
321202121210000112
412220331213030
5212004321140
615015415152
72521616324
oct650754714
9252553015
10111401420
1157979599
12313844b8
131a106200
1410b1c284
159ba7c65
hex6a3d9cc

111401420 has 72 divisors (see below), whose sum is σ = 264521376. Its totient is φ = 39316992.

The previous prime is 111401419. The next prime is 111401429. The reversal of 111401420 is 24104111.

It is a super-3 number, since 3×1114014203 (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 111401395 and 111401404.

It is not an unprimeable number, because it can be changed into a prime (111401429) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77024 + ... + 78456.

It is an arithmetic number, because the mean of its divisors is an integer number (3673908).

Almost surely, 2111401420 is an apocalyptic number.

111401420 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 111401420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132260688).

111401420 is an abundant number, since it is smaller than the sum of its proper divisors (153119956).

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

111401420 is a wasteful number, since it uses less digits than its factorization.

111401420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1491 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 111401420 is about 10554.6871104737. The cubic root of 111401420 is about 481.1681905126.

Adding to 111401420 its reverse (24104111), we get a palindrome (135505531).

The spelling of 111401420 in words is "one hundred eleven million, four hundred one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 92 115 130 169 230 260 299 338 460 598 676 845 1196 1433 1495 1690 2866 2990 3380 3887 5732 5980 7165 7774 14330 15548 18629 19435 28660 32959 37258 38870 65918 74516 77740 93145 131836 164795 186290 242177 329590 372580 428467 484354 659180 856934 968708 1210885 1713868 2142335 2421770 4284670 4843540 5570071 8569340 11140142 22280284 27850355 55700710 111401420