Search a number
-
+
36120123 = 32131392221
BaseRepresentation
bin1000100111001…
…0011000111011
32111222002111100
42021302120323
533221320443
63330102443
7616005324
oct211623073
974862440
1036120123
1119430646
121011aa23
137638870
144b2344b
1532873d3
hex227263b

36120123 has 24 divisors (see below), whose sum is σ = 56616560. Its totient is φ = 22057920.

The previous prime is 36120107. The next prime is 36120131. The reversal of 36120123 is 32102163.

36120123 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 36120123 - 24 = 36120107 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 36120096 and 36120105.

It is not an unprimeable number, because it can be changed into a prime (36120163) 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 23 ways as a sum of consecutive naturals, for example, 15153 + ... + 17373.

Almost surely, 236120123 is an apocalyptic number.

36120123 is a deficient number, since it is larger than the sum of its proper divisors (20496437).

36120123 is a wasteful number, since it uses less digits than its factorization.

36120123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2379 (or 2376 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 36120123 is about 6010.0019134772. The cubic root of 36120123 is about 330.5595740218.

Adding to 36120123 its reverse (32102163), we get a palindrome (68222286).

The spelling of 36120123 in words is "thirty-six million, one hundred twenty thousand, one hundred twenty-three".

Divisors: 1 3 9 13 39 117 139 417 1251 1807 2221 5421 6663 16263 19989 28873 86619 259857 308719 926157 2778471 4013347 12040041 36120123