Search a number
-
+
120303302031 = 3511203922073
BaseRepresentation
bin111000000001010100…
…0101011010110001111
3102111112010212221200000
41300002220223112033
53432340121131111
6131133325135343
711456141123613
oct1600250532617
9374463787600
10120303302031
1147025094460
121b3953ba553
13b462ca0123
145b73739343
1531e1917c56
hex1c02a2b58f

120303302031 has 48 divisors (see below), whose sum is σ = 196695233280. Its totient is φ = 72872032320.

The previous prime is 120303302017. The next prime is 120303302081. The reversal of 120303302031 is 130203303021.

It is not a de Polignac number, because 120303302031 - 215 = 120303269263 is a prime.

It is a super-2 number, since 2×1203033020312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120303301995 and 120303302013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120303302081) 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 47 ways as a sum of consecutive naturals, for example, 5439211 + ... + 5461283.

It is an arithmetic number, because the mean of its divisors is an integer number (4097817360).

Almost surely, 2120303302031 is an apocalyptic number.

120303302031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

120303302031 is a deficient number, since it is larger than the sum of its proper divisors (76391931249).

120303302031 is a wasteful number, since it uses less digits than its factorization.

120303302031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24138 (or 24126 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 120303302031 its reverse (130203303021), we get a palindrome (250506605052).

The spelling of 120303302031 in words is "one hundred twenty billion, three hundred three million, three hundred two thousand, thirty-one".

Divisors: 1 3 9 11 27 33 81 99 243 297 891 2039 2673 6117 18351 22073 22429 55053 66219 67287 165159 198657 201861 242803 495477 595971 605583 728409 1787913 1816749 2185227 5363739 5450247 6555681 19667043 45006847 59001129 135020541 405061623 495075317 1215184869 1485225951 3645554607 4455677853 10936663821 13367033559 40101100677 120303302031