Search a number
-
+
120332320011324 = 22331719109139922621
BaseRepresentation
bin11011010111000100001101…
…001100000111010000111100
3120210001122202021111202022000
4123113010031030013100330
5111233011042410330244
61103531523224022300
734226503031524011
oct3327041514072074
9523048667452260
10120332320011324
1135383717653373
12115b5262601990
13521b39b181125
1421a01887b7708
15dda1be464169
hex6d710d30743c

120332320011324 has 384 divisors, whose sum is σ = 351165830400000. Its totient is φ = 35409395773440.

The previous prime is 120332320011289. The next prime is 120332320011377. The reversal of 120332320011324 is 423110023233021.

120332320011324 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 3 + 2 + 320 + 0 + 11 + 324 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5319484734 + ... + 5319507354.

It is an arithmetic number, because the mean of its divisors is an integer number (914494350000).

Almost surely, 2120332320011324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120332320011324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175582915200000).

120332320011324 is an abundant number, since it is smaller than the sum of its proper divisors (230833510388676).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120332320011324 is a wasteful number, since it uses less digits than its factorization.

120332320011324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24178 (or 24170 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 120332320011324 its reverse (423110023233021), we get a palindrome (543442343244345).

The spelling of 120332320011324 in words is "one hundred twenty trillion, three hundred thirty-two billion, three hundred twenty million, eleven thousand, three hundred twenty-four".