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120120203321 = 1761115834333
BaseRepresentation
bin110111111011110111…
…0001101100000111001
3102111001101100120110022
41233313232031200321
53432001233001241
6131103224500225
711451455611256
oct1576756154071
9374041316408
10120120203321
1146a407a5708
121b34401a675
13b4340829b1
145b572b642d
1531d07eb54b
hex1bf7b8d839

120120203321 has 8 divisors (see below), whose sum is σ = 129271116744. Its totient is φ = 111200958720.

The previous prime is 120120203317. The next prime is 120120203323. The reversal of 120120203321 is 123302021021.

It can be written as a sum of positive squares in 4 ways, for example, as 40576462096 + 79543741225 = 201436^2 + 282035^2 .

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 120120203321 - 22 = 120120203317 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

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 120120203321.

It is not an unprimeable number, because it can be changed into a prime (120120203323) 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 7 ways as a sum of consecutive naturals, for example, 57916130 + ... + 57918203.

It is an arithmetic number, because the mean of its divisors is an integer number (16158889593).

Almost surely, 2120120203321 is an apocalyptic number.

It is an amenable number.

120120203321 is a deficient number, since it is larger than the sum of its proper divisors (9150913423).

120120203321 is a wasteful number, since it uses less digits than its factorization.

120120203321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115834411.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 120120203321 its reverse (123302021021), we get a palindrome (243422224342).

The spelling of 120120203321 in words is "one hundred twenty billion, one hundred twenty million, two hundred three thousand, three hundred twenty-one".

Divisors: 1 17 61 1037 115834333 1969183661 7065894313 120120203321