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31441011149 is a prime number
BaseRepresentation
bin11101010010000001…
…111100000111001101
310000011011210212001102
4131102001330013031
51003342344324044
622235505552445
72162065120352
oct352201740715
9100134725042
1031441011149
11123746a4039
126115645725
132c70aa2712
141743994629
15c403c024e
hex75207c1cd

31441011149 has 2 divisors, whose sum is σ = 31441011150. Its totient is φ = 31441011148.

The previous prime is 31441011073. The next prime is 31441011163. The reversal of 31441011149 is 94111014413.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 24748953124 + 6692058025 = 157318^2 + 81805^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31441011149 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31441011449) 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 as a sum of consecutive naturals, namely, 15720505574 + 15720505575.

It is an arithmetic number, because the mean of its divisors is an integer number (15720505575).

Almost surely, 231441011149 is an apocalyptic number.

It is an amenable number.

31441011149 is a deficient number, since it is larger than the sum of its proper divisors (1).

31441011149 is an equidigital number, since it uses as much as digits as its factorization.

31441011149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 29.

The spelling of 31441011149 in words is "thirty-one billion, four hundred forty-one million, eleven thousand, one hundred forty-nine".