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120300312 = 23311455683
BaseRepresentation
bin1110010101110…
…10001100011000
322101100220000010
413022322030120
5221244102222
615534241520
72660351526
oct712721430
9271326003
10120300312
11619a7450
12343562a0
131bc00822
1411d97316
15a86480c
hex72ba318

120300312 has 32 divisors (see below), whose sum is σ = 328092480. Its totient is φ = 36454560.

The previous prime is 120300253. The next prime is 120300317. The reversal of 120300312 is 213003021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120300317) 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 7 ways as a sum of consecutive naturals, for example, 227578 + ... + 228105.

It is an arithmetic number, because the mean of its divisors is an integer number (10252890).

Almost surely, 2120300312 is an apocalyptic number.

120300312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120300312 is an abundant number, since it is smaller than the sum of its proper divisors (207792168).

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

120300312 is a wasteful number, since it uses less digits than its factorization.

120300312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455703 (or 455699 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 120300312 is about 10968.1498895666. The cubic root of 120300312 is about 493.6535349227.

Adding to 120300312 its reverse (213003021), we get a palindrome (333303333).

The spelling of 120300312 in words is "one hundred twenty million, three hundred thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 455683 911366 1367049 1822732 2734098 3645464 5012513 5468196 10025026 10936392 15037539 20050052 30075078 40100104 60150156 120300312