Search a number
-
+
120324020031 = 322931731012017
BaseRepresentation
bin111000000001111011…
…1101101011100111111
3102111120120212112102100
41300003313231130333
53432410422120111
6131135345200143
711456512203135
oct1600367553477
9374516775370
10120324020031
1147035855176
121b3a0330053
13b4673752b7
145b763ad755
1531e365b756
hex1c03ded73f

120324020031 has 96 divisors (see below), whose sum is σ = 190093662720. Its totient is φ = 73156608000.

The previous prime is 120324019979. The next prime is 120324020071. The reversal of 120324020031 is 130020423021.

It is not a de Polignac number, because 120324020031 - 227 = 120189802303 is a prime.

It is a super-2 number, since 2×1203240200312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120324019986 and 120324020013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120324020071) 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 95 ways as a sum of consecutive naturals, for example, 59653935 + ... + 59655951.

It is an arithmetic number, because the mean of its divisors is an integer number (1980142320).

Almost surely, 2120324020031 is an apocalyptic number.

120324020031 is a deficient number, since it is larger than the sum of its proper divisors (69769642689).

120324020031 is a wasteful number, since it uses less digits than its factorization.

120324020031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2257 (or 2254 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 120324020031 its reverse (130020423021), we get a palindrome (250344443052).

The spelling of 120324020031 in words is "one hundred twenty billion, three hundred twenty-four million, twenty thousand, thirty-one".

Divisors: 1 3 9 29 31 73 87 93 101 219 261 279 303 657 899 909 2017 2117 2263 2697 2929 3131 6051 6351 6789 7373 8091 8787 9393 18153 19053 20367 22119 26361 28179 58493 62527 65627 66357 90799 147241 175479 187581 196881 203717 213817 228563 272397 441723 526437 562743 590643 611151 641451 685689 817191 1325169 1813283 1833453 1924353 2057067 4269989 4564471 5439849 5907793 6315227 6628327 12809967 13693413 14871341 16319547 17723379 18945681 19884981 38429901 41080239 44614023 53170137 56837043 59654943 132369659 133842069 183141583 397108977 431268889 461011571 549424749 1191326931 1293806667 1383034713 1648274247 3881420001 4149104139 13369335559 40108006677 120324020031