Search a number
-
+
120333333131 = 1130133363037
BaseRepresentation
bin111000000010001101…
…1001111001010001011
3102111121020101200120222
41300010123033022023
53432420313130011
6131140320540255
711456654312054
oct1600433171213
9374536350528
10120333333131
1147040036250
121b3a348168b
13b4692862cb
145b7771572b
1531e439addb
hex1c046cf28b

120333333131 has 8 divisors (see below), whose sum is σ = 131277445104. Its totient is φ = 109390007520.

The previous prime is 120333333083. The next prime is 120333333143. The reversal of 120333333131 is 131333333021.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 120333333131 - 222 = 120329138827 is a prime.

It is a super-2 number, since 2×1203333331312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 120333333131.

It is not an unprimeable number, because it can be changed into a prime (120333333031) 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, 149945 + ... + 512981.

It is an arithmetic number, because the mean of its divisors is an integer number (16409680638).

Almost surely, 2120333333131 is an apocalyptic number.

120333333131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

120333333131 is a deficient number, since it is larger than the sum of its proper divisors (10944111973).

120333333131 is a wasteful number, since it uses less digits than its factorization.

120333333131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393181.

The product of its (nonzero) digits is 4374, while the sum is 26.

Adding to 120333333131 its reverse (131333333021), we get a palindrome (251666666152).

The spelling of 120333333131 in words is "one hundred twenty billion, three hundred thirty-three million, three hundred thirty-three thousand, one hundred thirty-one".

Divisors: 1 11 30133 331463 363037 3993407 10939393921 120333333131