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33131997 = 341724061
BaseRepresentation
bin111111001100…
…0110111011101
32022100021120000
41332120313131
531440210442
63142044513
7551421513
oct176306735
968307500
1033131997
111777a618
12b119739
136b30742
1445864b3
152d96d4c
hex1f98ddd

33131997 has 20 divisors (see below), whose sum is σ = 52407036. Its totient is φ = 20787840.

The previous prime is 33131993. The next prime is 33132013. The reversal of 33131997 is 79913133.

33131997 is a `hidden beast` number, since 331 + 319 + 9 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 30536676 + 2595321 = 5526^2 + 1611^2 .

It is not a de Polignac number, because 33131997 - 22 = 33131993 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33131993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10654 + ... + 13407.

Almost surely, 233131997 is an apocalyptic number.

It is an amenable number.

33131997 is a deficient number, since it is larger than the sum of its proper divisors (19275039).

33131997 is a wasteful number, since it uses less digits than its factorization.

33131997 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24090 (or 24081 counting only the distinct ones).

The product of its digits is 15309, while the sum is 36.

The square root of 33131997 is about 5756.0400450310. The cubic root of 33131997 is about 321.1805255851.

The spelling of 33131997 in words is "thirty-three million, one hundred thirty-one thousand, nine hundred ninety-seven".

Divisors: 1 3 9 17 27 51 81 153 459 1377 24061 72183 216549 409037 649647 1227111 1948941 3681333 11043999 33131997