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314031105029 is a prime number
BaseRepresentation
bin1001001000111011011…
…01100110010000000101
31010000120100221000101202
410210131231212100011
520121113430330104
6400133000232245
731454661231155
oct4443555462005
91100510830352
10314031105029
111111a8410174
1250a4046b685
13237c7a0b715
14112b07d4765
15827e3d851e
hex491db66405

314031105029 has 2 divisors, whose sum is σ = 314031105030. Its totient is φ = 314031105028.

The previous prime is 314031104993. The next prime is 314031105049. The reversal of 314031105029 is 920501130413.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 257051028004 + 56980077025 = 507002^2 + 238705^2 .

It is a cyclic number.

It is not a de Polignac number, because 314031105029 - 28 = 314031104773 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 314031104992 and 314031105010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (314031105049) 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, 157015552514 + 157015552515.

It is an arithmetic number, because the mean of its divisors is an integer number (157015552515).

Almost surely, 2314031105029 is an apocalyptic number.

It is an amenable number.

314031105029 is a deficient number, since it is larger than the sum of its proper divisors (1).

314031105029 is an equidigital number, since it uses as much as digits as its factorization.

314031105029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3240, while the sum is 29.

The spelling of 314031105029 in words is "three hundred fourteen billion, thirty-one million, one hundred five thousand, twenty-nine".