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31984109 is a prime number
BaseRepresentation
bin111101000000…
…0100111101101
32020011221221122
41322000213231
531141442414
63101310325
7535601063
oct172004755
966157848
1031984109
1117066153
12a8653a5
13681b111
144368033
152c1bb8e
hex1e809ed

31984109 has 2 divisors, whose sum is σ = 31984110. Its totient is φ = 31984108.

The previous prime is 31984093. The next prime is 31984159. The reversal of 31984109 is 90148913.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30085225 + 1898884 = 5485^2 + 1378^2 .

It is a cyclic number.

It is not a de Polignac number, because 31984109 - 24 = 31984093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31984159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15992054 + 15992055.

It is an arithmetic number, because the mean of its divisors is an integer number (15992055).

Almost surely, 231984109 is an apocalyptic number.

It is an amenable number.

31984109 is a deficient number, since it is larger than the sum of its proper divisors (1).

31984109 is an equidigital number, since it uses as much as digits as its factorization.

31984109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 35.

The square root of 31984109 is about 5655.4494958403. The cubic root of 31984109 is about 317.4276487960.

The spelling of 31984109 in words is "thirty-one million, nine hundred eighty-four thousand, one hundred nine".