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120000323032321 = 1710188179329773
BaseRepresentation
bin11011010010001111000000…
…101000001001010100000001
3120201212220210211121202222111
4123102033000220021110001
5111212041130144013241
61103115215400335321
734163510605002304
oct3322170050112401
9521786724552874
10120000323032321
113526593aa4a176
1211560a49474541
1351c5c9c330164
14218c091d1ab3b
15dd173cbb3c81
hex6d23c0a09501

120000323032321 has 16 divisors (see below), whose sum is σ = 128462828186448. Its totient is φ = 111696318976000.

The previous prime is 120000323032279. The next prime is 120000323032327. The reversal of 120000323032321 is 123230323000021.

It can be written as a sum of positive squares in 8 ways, for example, as 11414836602225 + 108585486430096 = 3378585^2 + 10420436^2 .

It is a cyclic number.

It is not a de Polignac number, because 120000323032321 - 213 = 120000323024129 is a prime.

It is a super-2 number, since 2×1200003230323212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120000323032292 and 120000323032301.

It is not an unprimeable number, because it can be changed into a prime (120000323032327) 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 15 ways as a sum of consecutive naturals, for example, 38152210 + ... + 41177563.

It is an arithmetic number, because the mean of its divisors is an integer number (8028926761653).

Almost surely, 2120000323032321 is an apocalyptic number.

It is an amenable number.

120000323032321 is a deficient number, since it is larger than the sum of its proper divisors (8462505154127).

120000323032321 is a wasteful number, since it uses less digits than its factorization.

120000323032321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79330772.

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 120000323032321 its reverse (123230323000021), we get a palindrome (243230646032342).

The spelling of 120000323032321 in words is "one hundred twenty trillion, three hundred twenty-three million, thirty-two thousand, three hundred twenty-one".

Divisors: 1 17 101 881 1717 14977 88981 1512677 79329773 1348606141 8012307073 69889530013 136209220241 1188122010221 7058842531313 120000323032321