Search a number
-
+
120512353 = 1311382037
BaseRepresentation
bin1110010111011…
…01111101100001
322101202122212111
413023231331201
5221322343403
615542555321
72662223653
oct713557541
9271678774
10120512353
1162031795
1234438b41
131bc761b0
14120106d3
15a8a756d
hex72edf61

120512353 has 8 divisors (see below), whose sum is σ = 130932648. Its totient is φ = 110256384.

The previous prime is 120512333. The next prime is 120512363. The reversal of 120512353 is 353215021.

It can be written as a sum of positive squares in 4 ways, for example, as 28121809 + 92390544 = 5303^2 + 9612^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-120512353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120512333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39550 + ... + 42487.

It is an arithmetic number, because the mean of its divisors is an integer number (16366581).

Almost surely, 2120512353 is an apocalyptic number.

120512353 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

120512353 is a deficient number, since it is larger than the sum of its proper divisors (10420295).

120512353 is a wasteful number, since it uses less digits than its factorization.

120512353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82163.

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 120512353 is about 10977.8118493623. The cubic root of 120512353 is about 493.9434021386.

Adding to 120512353 its reverse (353215021), we get a palindrome (473727374).

The spelling of 120512353 in words is "one hundred twenty million, five hundred twelve thousand, three hundred fifty-three".

Divisors: 1 13 113 1469 82037 1066481 9270181 120512353