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111481020 = 223257103859
BaseRepresentation
bin1101010010100…
…01000010111100
321202202211012200
412221101002330
5212014343040
615021231500
72522400360
oct651210274
9252684180
10111481020
1157a23382
1231402590
131a133501
1410b3d2a0
159bc1630
hex6a510bc

111481020 has 144 divisors (see below), whose sum is σ = 390673920. Its totient is φ = 25204608.

The previous prime is 111480989. The next prime is 111481043. The reversal of 111481020 is 20184111.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 111480984 and 111481002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129351 + ... + 130209.

Almost surely, 2111481020 is an apocalyptic number.

111481020 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 111481020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195336960).

111481020 is an abundant number, since it is smaller than the sum of its proper divisors (279192900).

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

111481020 is a wasteful number, since it uses less digits than its factorization.

111481020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 111481020 is about 10558.4572736740. The cubic root of 111481020 is about 481.2827667576.

The spelling of 111481020 in words is "one hundred eleven million, four hundred eighty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 103 105 126 140 180 206 210 252 309 315 412 420 515 618 630 721 859 927 1030 1236 1260 1442 1545 1718 1854 2060 2163 2577 2884 3090 3436 3605 3708 4295 4326 4635 5154 6013 6180 6489 7210 7731 8590 8652 9270 10308 10815 12026 12885 12978 14420 15462 17180 18039 18540 21630 24052 25770 25956 30065 30924 32445 36078 38655 43260 51540 54117 60130 64890 72156 77310 88477 90195 108234 120260 129780 154620 176954 180390 216468 265431 270585 353908 360780 442385 530862 541170 619339 796293 884770 1061724 1082340 1238678 1327155 1592586 1769540 1858017 2477356 2654310 3096695 3185172 3716034 3981465 5308620 5574051 6193390 7432068 7962930 9290085 11148102 12386780 15925860 18580170 22296204 27870255 37160340 55740510 111481020