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120323112 = 233713371489
BaseRepresentation
bin1110010101111…
…11110000101000
322101102001021120
413022333300220
5221300314422
615534535240
72660505150
oct712776050
9271361246
10120323112
1161a12598
1234367520
131bc0b010
1411da1760
15a86b45c
hex72bfc28

120323112 has 128 divisors (see below), whose sum is σ = 380486400. Its totient is φ = 30855168.

The previous prime is 120323111. The next prime is 120323113. The reversal of 120323112 is 211323021.

It is an interprime number because it is at equal distance from previous prime (120323111) and next prime (120323113).

It is a junction number, because it is equal to n+sod(n) for n = 120323091 and 120323100.

It is not an unprimeable number, because it can be changed into a prime (120323111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80064 + ... + 81552.

It is an arithmetic number, because the mean of its divisors is an integer number (2972550).

Almost surely, 2120323112 is an apocalyptic number.

120323112 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 120323112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190243200).

120323112 is an abundant number, since it is smaller than the sum of its proper divisors (260163288).

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

120323112 is a wasteful number, since it uses less digits than its factorization.

120323112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1555 (or 1551 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 120323112 is about 10969.1892134287. The cubic root of 120323112 is about 493.6847196288.

Adding to 120323112 its reverse (211323021), we get a palindrome (331646133).

Subtracting 120323112 from its reverse (211323021), we obtain a palindrome (90999909).

The spelling of 120323112 in words is "one hundred twenty million, three hundred twenty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 37 39 42 52 56 74 78 84 91 104 111 148 156 168 182 222 259 273 296 312 364 444 481 518 546 728 777 888 962 1036 1092 1443 1489 1554 1924 2072 2184 2886 2978 3108 3367 3848 4467 5772 5956 6216 6734 8934 10101 10423 11544 11912 13468 17868 19357 20202 20846 26936 31269 35736 38714 40404 41692 55093 58071 62538 77428 80808 83384 110186 116142 125076 135499 154856 165279 220372 232284 250152 270998 330558 385651 406497 440744 464568 541996 661116 716209 771302 812994 1083992 1156953 1322232 1432418 1542604 1625988 2148627 2313906 2864836 3085208 3251976 4297254 4627812 5013463 5729672 8594508 9255624 10026926 15040389 17189016 20053852 30080778 40107704 60161556 120323112