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33132330101 = 1324411044097
BaseRepresentation
bin11110110110110101…
…110011110001110101
310011112001022202111002
4132312311303301311
51020323334030401
623115404453045
72252023105403
oct366665636165
9104461282432
1033132330101
1113062377aa2
126507b4a185
1331802cc870
14186445a473
15cddb0ba6b
hex7b6d73c75

33132330101 has 8 divisors (see below), whose sum is σ = 35695622424. Its totient is φ = 30571130880.

The previous prime is 33132330083. The next prime is 33132330113. The reversal of 33132330101 is 10103323133.

It can be written as a sum of positive squares in 4 ways, for example, as 5531491876 + 27600838225 = 74374^2 + 166135^2 .

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 33132330101 - 26 = 33132330037 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33132330151) 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, 490316 + ... + 553781.

It is an arithmetic number, because the mean of its divisors is an integer number (4461952803).

Almost surely, 233132330101 is an apocalyptic number.

It is an amenable number.

33132330101 is a deficient number, since it is larger than the sum of its proper divisors (2563292323).

33132330101 is a wasteful number, since it uses less digits than its factorization.

33132330101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046551.

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 33132330101 its reverse (10103323133), we get a palindrome (43235653234).

The spelling of 33132330101 in words is "thirty-three billion, one hundred thirty-two million, three hundred thirty thousand, one hundred one".

Divisors: 1 13 2441 31733 1044097 13573261 2548640777 33132330101