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31442331313 is a prime number
BaseRepresentation
bin11101010010000110…
…111110011010110001
310000011021021220222101
4131102012332122301
51003343214100223
622235554140401
72162112256261
oct352206763261
9100137256871
1031442331313
1112375415988
126115b81701
132c71145593
141743c197a1
15c405814ad
hex7521be6b1

31442331313 has 2 divisors, whose sum is σ = 31442331314. Its totient is φ = 31442331312.

The previous prime is 31442331259. The next prime is 31442331391. The reversal of 31442331313 is 31313324413.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21399886369 + 10042444944 = 146287^2 + 100212^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31442331313 is a prime.

It is not a weakly prime, because it can be changed into another prime (31442337313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15721165656 + 15721165657.

It is an arithmetic number, because the mean of its divisors is an integer number (15721165657).

Almost surely, 231442331313 is an apocalyptic number.

It is an amenable number.

31442331313 is a deficient number, since it is larger than the sum of its proper divisors (1).

31442331313 is an equidigital number, since it uses as much as digits as its factorization.

31442331313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7776, while the sum is 28.

Adding to 31442331313 its reverse (31313324413), we get a palindrome (62755655726).

The spelling of 31442331313 in words is "thirty-one billion, four hundred forty-two million, three hundred thirty-one thousand, three hundred thirteen".