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33122102113 = 37240136029
BaseRepresentation
bin11110110110001110…
…110010101101100001
310011111100002010022201
4132312032302231201
51020313224231423
623114401333201
72251540136242
oct366616625541
9104440063281
1033122102113
1113057621611
126504637201
13317b15b2b9
141862d56cc9
15cdcc8b2ad
hex7b63b2b61

33122102113 has 12 divisors (see below), whose sum is σ = 34055618940. Its totient is φ = 32213535552.

The previous prime is 33122102107. The next prime is 33122102129. The reversal of 33122102113 is 31120122133.

It can be written as a sum of positive squares in 6 ways, for example, as 20474175744 + 12647926369 = 143088^2 + 112463^2 .

It is not a de Polignac number, because 33122102113 - 29 = 33122101601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33122162113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5490783 + ... + 5496811.

It is an arithmetic number, because the mean of its divisors is an integer number (2837968245).

Almost surely, 233122102113 is an apocalyptic number.

It is an amenable number.

33122102113 is a deficient number, since it is larger than the sum of its proper divisors (933516827).

33122102113 is an equidigital number, since it uses as much as digits as its factorization.

33122102113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10116 (or 10079 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 33122102113 its reverse (31120122133), we get a palindrome (64242224246).

The spelling of 33122102113 in words is "thirty-three billion, one hundred twenty-two million, one hundred two thousand, one hundred thirteen".

Divisors: 1 37 1369 4013 6029 148481 223073 5493797 8253701 24194377 895191949 33122102113