Search a number
-
+
120003534721 = 724161979229
BaseRepresentation
bin110111111000011000…
…1001001111110000001
3102110202020211012020001
41233300301021332001
53431231401102341
6131043500120001
711445541133500
oct1576061117601
9373666735201
10120003534721
1146990959884
121b310b36001
13b415b54215
145b459c6837
1531c5452d31
hex1bf0c49f81

120003534721 has 24 divisors (see below), whose sum is σ = 145345150440. Its totient is φ = 98706182400.

The previous prime is 120003534719. The next prime is 120003534737. The reversal of 120003534721 is 127435300021.

It can be written as a sum of positive squares in 4 ways, for example, as 812877121 + 119190657600 = 28511^2 + 345240^2 .

It is not a de Polignac number, because 120003534721 - 21 = 120003534719 is a prime.

It is a super-3 number, since 3×1200035347213 (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 120003534721.

It is not an unprimeable number, because it can be changed into a prime (120003534121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 367066 + ... + 612163.

It is an arithmetic number, because the mean of its divisors is an integer number (6056047935).

Almost surely, 2120003534721 is an apocalyptic number.

It is an amenable number.

120003534721 is a deficient number, since it is larger than the sum of its proper divisors (25341615719).

120003534721 is an equidigital number, since it uses as much as digits as its factorization.

120003534721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979345 (or 979338 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

Adding to 120003534721 its reverse (127435300021), we get a palindrome (247438834742).

The spelling of 120003534721 in words is "one hundred twenty billion, three million, five hundred thirty-four thousand, seven hundred twenty-one".

Divisors: 1 7 41 49 61 287 427 2009 2501 2989 17507 122549 979229 6854603 40148389 47982221 59732969 281038723 418130783 1967271061 2449051729 2926915481 17143362103 120003534721