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120110130 = 23257832297
BaseRepresentation
bin1110010100010…
…11110000110010
322101000020010100
413022023300302
5221222011010
615530213230
72655630210
oct712136062
9271006110
10120110130
1161887578
1234284216
131bb650aa
1411d47cb0
15a8282c0
hex728bc32

120110130 has 96 divisors (see below), whose sum is σ = 361355904. Its totient is φ = 27111168.

The previous prime is 120110093. The next prime is 120110143. The reversal of 120110130 is 31011021.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51142 + ... + 53438.

It is an arithmetic number, because the mean of its divisors is an integer number (3764124).

Almost surely, 2120110130 is an apocalyptic number.

120110130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120110130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180677952).

120110130 is an abundant number, since it is smaller than the sum of its proper divisors (241245774).

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

120110130 is a wasteful number, since it uses less digits than its factorization.

120110130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2400 (or 2397 counting only the distinct ones).

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

The square root of 120110130 is about 10959.4767210848. The cubic root of 120110130 is about 493.3932598049.

Adding to 120110130 its reverse (31011021), we get a palindrome (151121151).

The spelling of 120110130 in words is "one hundred twenty million, one hundred ten thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 83 90 105 126 166 210 249 315 415 498 581 630 747 830 1162 1245 1494 1743 2297 2490 2905 3486 3735 4594 5229 5810 6891 7470 8715 10458 11485 13782 16079 17430 20673 22970 26145 32158 34455 41346 48237 52290 68910 80395 96474 103365 144711 160790 190651 206730 241185 289422 381302 482370 571953 723555 953255 1143906 1334557 1447110 1715859 1906510 2669114 2859765 3431718 4003671 5719530 6672785 8007342 8579295 12011013 13345570 17158590 20018355 24022026 40036710 60055065 120110130