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111241020 = 223511315437
BaseRepresentation
bin1101010000101…
…10011100111100
321202022121222210
412220112130330
5211434203040
615012140420
72520350562
oct650263474
9252277883
10111241020
115787a030
1231307710
131a07b1b7
1410ab9a32
159b75480
hex6a1673c

111241020 has 96 divisors (see below), whose sum is σ = 350816256. Its totient is φ = 26092800.

The previous prime is 111241007. The next prime is 111241033. The reversal of 111241020 is 20142111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (111241007) and next prime (111241033).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 111240987 and 111241005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17742 + ... + 23178.

It is an arithmetic number, because the mean of its divisors is an integer number (3654336).

Almost surely, 2111241020 is an apocalyptic number.

111241020 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 111241020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175408128).

111241020 is an abundant number, since it is smaller than the sum of its proper divisors (239575236).

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

111241020 is a wasteful number, since it uses less digits than its factorization.

111241020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5491 (or 5489 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 111241020 is about 10547.0858534479. The cubic root of 111241020 is about 480.9371448361.

Adding to 111241020 its reverse (20142111), we get a palindrome (131383131).

The spelling of 111241020 in words is "one hundred eleven million, two hundred forty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 31 33 44 55 60 62 66 93 110 124 132 155 165 186 220 310 330 341 372 465 620 660 682 930 1023 1364 1705 1860 2046 3410 4092 5115 5437 6820 10230 10874 16311 20460 21748 27185 32622 54370 59807 65244 81555 108740 119614 163110 168547 179421 239228 299035 326220 337094 358842 505641 598070 674188 717684 842735 897105 1011282 1196140 1685470 1794210 1854017 2022564 2528205 3370940 3588420 3708034 5056410 5562051 7416068 9270085 10112820 11124102 18540170 22248204 27810255 37080340 55620510 111241020