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33130188289 = 112165472
BaseRepresentation
bin11110110110101101…
…101000111000000001
310011111220021221110201
4132312231220320001
51020322312011124
623115250525201
72251665645142
oct366655507001
9104456257421
1033130188289
1113061144900
126507296801
13317ca2ca13
14186405dac9
15cdd837144
hex7b6b68e01

33130188289 has 9 divisors (see below), whose sum is σ = 36418027681. Its totient is φ = 30116532820.

The previous prime is 33130188283. The next prime is 33130188317. The reversal of 33130188289 is 98288103133.

The square root of 33130188289 is 182017.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 33130188289 - 25 = 33130188257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33130188283) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1993914 + ... + 2010460.

Almost surely, 233130188289 is an apocalyptic number.

33130188289 is the 182017-th square number.

33130188289 is the 91009-th centered octagonal number.

It is an amenable number.

33130188289 is a deficient number, since it is larger than the sum of its proper divisors (3287839392).

33130188289 is an frugal number, since it uses more digits than its factorization.

33130188289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33116 (or 16558 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 46.

The spelling of 33130188289 in words is "thirty-three billion, one hundred thirty million, one hundred eighty-eight thousand, two hundred eighty-nine".

Divisors: 1 11 121 16547 182017 2002187 273803209 3011835299 33130188289