Search a number
-
+
120112314 = 23711632459
BaseRepresentation
bin1110010100011…
…00010010111010
322101000100010020
413022030102322
5221222043224
615530231310
72655636450
oct712142272
9271010106
10120112314
1161889183
1234285536
131bb6609a
1411d489d0
15a828c79
hex728c4ba

120112314 has 32 divisors (see below), whose sum is σ = 274890240. Its totient is φ = 34274352.

The previous prime is 120112313. The next prime is 120112337. The reversal of 120112314 is 413211021.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 120112293 and 120112302.

It is not an unprimeable number, because it can be changed into a prime (120112313) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 47617 + ... + 50075.

It is an arithmetic number, because the mean of its divisors is an integer number (8590320).

Almost surely, 2120112314 is an apocalyptic number.

120112314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

120112314 is an abundant number, since it is smaller than the sum of its proper divisors (154777926).

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

120112314 is a wasteful number, since it uses less digits than its factorization.

120112314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3634.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 120112314 is about 10959.5763604256. The cubic root of 120112314 is about 493.3962502947.

Adding to 120112314 its reverse (413211021), we get a palindrome (533323335).

The spelling of 120112314 in words is "one hundred twenty million, one hundred twelve thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 1163 2326 2459 3489 4918 6978 7377 8141 14754 16282 17213 24423 34426 48846 51639 103278 2859817 5719634 8579451 17158902 20018719 40037438 60056157 120112314