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1113000120 = 23325831932
BaseRepresentation
bin100001001010111…
…0000100010111000
32212120022021010200
41002111300202320
54234412000440
6302235242200
736403226211
oct10225604270
92776267120
101113000120
11521294511
122708a9360
13149782c6b
14a7b64408
1567aa2c30
hex425708b8

1113000120 has 144 divisors (see below), whose sum is σ = 3679898040. Its totient is φ = 291704832.

The previous prime is 1113000113. The next prime is 1113000151. The reversal of 1113000120 is 210003111.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5766744 + ... + 5766936.

Almost surely, 21113000120 is an apocalyptic number.

1113000120 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 1113000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1839949020).

1113000120 is an abundant number, since it is smaller than the sum of its proper divisors (2566897920).

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

1113000120 is a wasteful number, since it uses less digits than its factorization.

1113000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1113000120 is about 33361.6564336965. The cubic root of 1113000120 is about 1036.3307953162.

Adding to 1113000120 its reverse (210003111), we get a palindrome (1323003231).

The spelling of 1113000120 in words is "one billion, one hundred thirteen million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 83 90 120 166 180 193 249 332 360 386 415 498 579 664 747 772 830 965 996 1158 1245 1494 1544 1660 1737 1930 1992 2316 2490 2895 2988 3320 3474 3735 3860 4632 4980 5790 5976 6948 7470 7720 8685 9960 11580 13896 14940 16019 17370 23160 29880 32038 34740 37249 48057 64076 69480 74498 80095 96114 111747 128152 144171 148996 160190 186245 192228 223494 240285 288342 297992 320380 335241 372490 384456 446988 480570 558735 576684 640760 670482 720855 744980 893976 961140 1117470 1153368 1340964 1441710 1489960 1676205 1922280 2234940 2681928 2883420 3091667 3352410 4469880 5766840 6183334 6704820 9275001 12366668 13409640 15458335 18550002 24733336 27825003 30916670 37100004 46375005 55650006 61833340 74200008 92750010 111300012 123666680 139125015 185500020 222600024 278250030 371000040 556500060 1113000120