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120110112 = 25322973197
BaseRepresentation
bin1110010100010…
…11110000100000
322101000020002200
413022023300200
5221222010422
615530213200
72655630153
oct712136040
9271006080
10120110112
1161887561
1234284200
131bb65095
1411d47c9a
15a8282ac
hex728bc20

120110112 has 144 divisors (see below), whose sum is σ = 359999640. Its totient is φ = 37933056.

The previous prime is 120110093. The next prime is 120110143. The reversal of 120110112 is 211011021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 120033936 + 76176 = 10956^2 + 276^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 120110094 and 120110103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 609598 + ... + 609794.

Almost surely, 2120110112 is an apocalyptic number.

120110112 is a gapful number since it is divisible by the number (12) 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 120110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179999820).

120110112 is an abundant number, since it is smaller than the sum of its proper divisors (239889528).

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

120110112 is a wasteful number, since it uses less digits than its factorization.

120110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 120110112 is about 10959.4758998777. The cubic root of 120110112 is about 493.3932351579.

Adding to 120110112 its reverse (211011021), we get a palindrome (331121133).

Subtracting 120110112 from its reverse (211011021), we obtain a palindrome (90900909).

The spelling of 120110112 in words is "one hundred twenty million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 73 87 96 116 144 146 174 197 219 232 261 288 292 348 394 438 464 522 584 591 657 696 788 876 928 1044 1168 1182 1314 1392 1576 1752 1773 2088 2117 2336 2364 2628 2784 3152 3504 3546 4176 4234 4728 5256 5713 6304 6351 7008 7092 8352 8468 9456 10512 11426 12702 14184 14381 16936 17139 18912 19053 21024 22852 25404 28368 28762 33872 34278 38106 43143 45704 50808 51417 56736 57524 67744 68556 76212 86286 91408 101616 102834 115048 129429 137112 152424 172572 182816 203232 205668 230096 258858 274224 304848 345144 411336 417049 460192 517716 548448 609696 690288 822672 834098 1035432 1251147 1380576 1645344 1668196 2070864 2502294 3336392 3753441 4141728 5004588 6672784 7506882 10009176 13345568 15013764 20018352 30027528 40036704 60055056 120110112