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120310112 = 25131372111
BaseRepresentation
bin1110010101111…
…00100101100000
322101101101110002
413022330211200
5221244410422
615534355132
72660422226
oct712744540
9271341402
10120310112
1161a0384a
123435baa8
131bc05120
1411d9ab16
15a867692
hex72bc960

120310112 has 48 divisors (see below), whose sum is σ = 257064192. Its totient is φ = 55096320.

The previous prime is 120310103. The next prime is 120310121. The reversal of 120310112 is 211013021.

It is an interprime number because it is at equal distance from previous prime (120310103) and next prime (120310121).

It is a junction number, because it is equal to n+sod(n) for n = 120310093 and 120310102.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 55937 + ... + 58047.

It is an arithmetic number, because the mean of its divisors is an integer number (5355504).

Almost surely, 2120310112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120310112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128532096).

120310112 is an abundant number, since it is smaller than the sum of its proper divisors (136754080).

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

120310112 is a wasteful number, since it uses less digits than its factorization.

120310112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2271 (or 2263 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 120310112 is about 10968.5966285574. The cubic root of 120310112 is about 493.6669393581. Note that the first 3 decimals are identical.

Adding to 120310112 its reverse (211013021), we get a palindrome (331323133).

The spelling of 120310112 in words is "one hundred twenty million, three hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 104 137 208 274 416 548 1096 1781 2111 2192 3562 4222 4384 7124 8444 14248 16888 27443 28496 33776 54886 56992 67552 109772 219544 289207 439088 578414 878176 1156828 2313656 3759691 4627312 7519382 9254624 15038764 30077528 60155056 120310112