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33120213229 = 1712171600861
BaseRepresentation
bin11110110110000111…
…100101100011101101
310011111012112011021001
4132312013211203231
51020312233310404
623114253040301
72251515111265
oct366607454355
9104435464231
1033120213229
1113056551454
126503a86091
13317a94960c
1418629c47a5
15cdca167a4
hex7b61e58ed

33120213229 has 8 divisors (see below), whose sum is σ = 35097298488. Its totient is φ = 31146332160.

The previous prime is 33120213227. The next prime is 33120213257. The reversal of 33120213229 is 92231202133.

It can be written as a sum of positive squares in 4 ways, for example, as 1505595204 + 31614618025 = 38802^2 + 177805^2 .

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 33120213229 - 21 = 33120213227 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 33120213197 and 33120213206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33120213227) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 779742 + ... + 821119.

It is an arithmetic number, because the mean of its divisors is an integer number (4387162311).

Almost surely, 233120213229 is an apocalyptic number.

It is an amenable number.

33120213229 is a deficient number, since it is larger than the sum of its proper divisors (1977085259).

33120213229 is a wasteful number, since it uses less digits than its factorization.

33120213229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602095.

The product of its (nonzero) digits is 3888, while the sum is 28.

The spelling of 33120213229 in words is "thirty-three billion, one hundred twenty million, two hundred thirteen thousand, two hundred twenty-nine".

Divisors: 1 17 1217 20689 1600861 27214637 1948247837 33120213229