Search a number
-
+
120003312001 = 1760731162361
BaseRepresentation
bin110111111000011000…
…0010011100110000001
3102110202020101212201011
41233300300103212001
53431231321441001
6131043451240521
711445536215246
oct1576060234601
9373666355634
10120003312001
1146990817511
121b310a49141
13b415aa6a31
145b459695cd
1531c540bd51
hex1bf0c13981

120003312001 has 8 divisors (see below), whose sum is σ = 127083362184. Its totient is φ = 112925598720.

The previous prime is 120003311993. The next prime is 120003312007. The reversal of 120003312001 is 100213300021.

It can be written as a sum of positive squares in 4 ways, for example, as 89355557776 + 30647754225 = 298924^2 + 175065^2 .

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 120003312001 - 23 = 120003311993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120003312007) 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 7 ways as a sum of consecutive naturals, for example, 477940 + ... + 684421.

It is an arithmetic number, because the mean of its divisors is an integer number (15885420273).

Almost surely, 2120003312001 is an apocalyptic number.

It is an amenable number.

120003312001 is a deficient number, since it is larger than the sum of its proper divisors (7080050183).

120003312001 is a wasteful number, since it uses less digits than its factorization.

120003312001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168451.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 120003312001 its reverse (100213300021), we get a palindrome (220216612022).

The spelling of 120003312001 in words is "one hundred twenty billion, three million, three hundred twelve thousand, one".

Divisors: 1 17 6073 103241 1162361 19760137 7059018353 120003312001