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312029992829 is a prime number
BaseRepresentation
bin1001000101001100110…
…11111101011101111101
31002211101220110222112002
410202212123331131331
520103014134232304
6355202233352045
731354252114622
oct4424633753575
91084356428462
10312029992829
11110370883a35
1250582268625
1323569265069
1411160b2a349
1581b38a631e
hex48a66fd77d

312029992829 has 2 divisors, whose sum is σ = 312029992830. Its totient is φ = 312029992828.

The previous prime is 312029992793. The next prime is 312029992843. The reversal of 312029992829 is 928299920213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 298897291225 + 13132701604 = 546715^2 + 114598^2 .

It is an emirp because it is prime and its reverse (928299920213) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312029992829 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312029992889) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156014996414 + 156014996415.

It is an arithmetic number, because the mean of its divisors is an integer number (156014996415).

Almost surely, 2312029992829 is an apocalyptic number.

It is an amenable number.

312029992829 is a deficient number, since it is larger than the sum of its proper divisors (1).

312029992829 is an equidigital number, since it uses as much as digits as its factorization.

312029992829 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2519424, while the sum is 56.

The spelling of 312029992829 in words is "three hundred twelve billion, twenty-nine million, nine hundred ninety-two thousand, eight hundred twenty-nine".