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330431222431401 = 37131498123293813
BaseRepresentation
bin100101100100001101000001…
…1101000101011111010101001
31121022221220202000201120100020
41023020122003220223322221
5321302241120420301101
63130434001420431053
7126412603504311150
oct11310320350537251
91538856660646306
10330431222431401
1196316104813793
123108794b9a8489
131124b6b8893980
145b84d568bc597
15283041b127136
hex12c8683a2bea9

330431222431401 has 32 divisors (see below), whose sum is σ = 545885344300800. Its totient is φ = 173123637721344.

The previous prime is 330431222431361. The next prime is 330431222431423. The reversal of 330431222431401 is 104134222134033.

It is a de Polignac number, because none of the positive numbers 2k-330431222431401 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (330431222431481) 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 31 ways as a sum of consecutive naturals, for example, 4061606230 + ... + 4061687583.

It is an arithmetic number, because the mean of its divisors is an integer number (17058917009400).

Almost surely, 2330431222431401 is an apocalyptic number.

It is an amenable number.

330431222431401 is a deficient number, since it is larger than the sum of its proper divisors (215454121869399).

330431222431401 is a wasteful number, since it uses less digits than its factorization.

330431222431401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8123293985.

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 330431222431401 its reverse (104134222134033), we get a palindrome (434565444565434).

The spelling of 330431222431401 in words is "three hundred thirty trillion, four hundred thirty-one billion, two hundred twenty-two million, four hundred thirty-one thousand, four hundred one".

Divisors: 1 3 7 13 21 39 91 149 273 447 1043 1937 3129 5811 13559 40677 8123293813 24369881439 56863056691 105602819569 170589170073 316808458707 739219736983 1210370778137 2217659210949 3631112334411 8472595446959 15734820115781 25417786340877 47204460347343 110143740810467 330431222431401