Search a number
-
+
120312221013 = 32233715708607
BaseRepresentation
bin111000000001100101…
…0101100110101010101
3102111112202200002012200
41300003022230311111
53432344412033023
6131134244235113
711456310001515
oct1600312546525
9374482602180
10120312221013
114702a126416
121b39839ba99
13b464aa392a
145b749bb845
1531e25ca743
hex1c032acd55

120312221013 has 24 divisors (see below), whose sum is σ = 186241256448. Its totient is φ = 74647295712.

The previous prime is 120312221011. The next prime is 120312221069. The reversal of 120312221013 is 310122213021.

120312221013 is a `hidden beast` number, since 120 + 312 + 221 + 0 + 13 = 666.

It is not a de Polignac number, because 120312221013 - 21 = 120312221011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120312221011) 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 23 ways as a sum of consecutive naturals, for example, 7846645 + ... + 7861962.

It is an arithmetic number, because the mean of its divisors is an integer number (7760052352).

Almost surely, 2120312221013 is an apocalyptic number.

It is an amenable number.

120312221013 is a deficient number, since it is larger than the sum of its proper divisors (65929035435).

120312221013 is a wasteful number, since it uses less digits than its factorization.

120312221013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15708673 (or 15708670 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 120312221013 its reverse (310122213021), we get a palindrome (430434434034).

The spelling of 120312221013 in words is "one hundred twenty billion, three hundred twelve million, two hundred twenty-one thousand, thirteen".

Divisors: 1 3 9 23 37 69 111 207 333 851 2553 7659 15708607 47125821 141377463 361297961 581218459 1083893883 1743655377 3251681649 5230966131 13368024557 40104073671 120312221013