Search a number
-
+
120131203120313 = 7311211150899071
BaseRepresentation
bin11011010100001000111001…
…101100000011110010111001
3120202100102122002121010100212
4123110020321230003302321
5111221212200444322223
61103255302435040505
734206123126254000
oct3324107154036271
9522312562533325
10120131203120313
11353063a2390450
1211582294a40135
135205429648cc8
14219454a23bc37
15dd4d4ce1e278
hex6d4239b03cb9

120131203120313 has 32 divisors (see below), whose sum is σ = 153554895667200. Its totient is φ = 93165085818000.

The previous prime is 120131203120307. The next prime is 120131203120381. The reversal of 120131203120313 is 313021302131021.

It is not a de Polignac number, because 120131203120313 - 212 = 120131203116217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120131203120303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74653433 + ... + 76245638.

It is an arithmetic number, because the mean of its divisors is an integer number (4798590489600).

Almost surely, 2120131203120313 is an apocalyptic number.

It is an amenable number.

120131203120313 is a deficient number, since it is larger than the sum of its proper divisors (33423692546887).

120131203120313 is a wasteful number, since it uses less digits than its factorization.

120131203120313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150899314 (or 150899300 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 120131203120313 its reverse (313021302131021), we get a palindrome (433152505251334).

The spelling of 120131203120313 in words is "one hundred twenty trillion, one hundred thirty-one billion, two hundred three million, one hundred twenty thousand, three hundred thirteen".

Divisors: 1 7 11 49 77 211 343 539 1477 2321 3773 10339 16247 72373 113729 796103 150899071 1056293497 1659889781 7394054479 11619228467 31839703981 51758381353 81334599269 222877927867 350236743791 569342194883 1560145495069 2451657206537 10921018465483 17161600445759 120131203120313