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1012080029 is a prime number
BaseRepresentation
bin111100010100110…
…001110110011101
32121112101222210112
4330110301312131
54033043030104
6244232215405
734036352432
oct7424616635
92545358715
101012080029
1147a324784
12242b3a565
131318a972c
14985b3b89
155dcba86e
hex3c531d9d

1012080029 has 2 divisors, whose sum is σ = 1012080030. Its totient is φ = 1012080028.

The previous prime is 1012079993. The next prime is 1012080031. The reversal of 1012080029 is 9200802101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 702144004 + 309936025 = 26498^2 + 17605^2 .

It is a cyclic number.

It is not a de Polignac number, because 1012080029 - 28 = 1012079773 is a prime.

Together with 1012080031, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 1012079986 and 1012080013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1012080059) 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, 506040014 + 506040015.

It is an arithmetic number, because the mean of its divisors is an integer number (506040015).

Almost surely, 21012080029 is an apocalyptic number.

It is an amenable number.

1012080029 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012080029 is an equidigital number, since it uses as much as digits as its factorization.

1012080029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 23.

The square root of 1012080029 is about 31813.2052613376. The cubic root of 1012080029 is about 1004.0105701574.

The spelling of 1012080029 in words is "one billion, twelve million, eighty thousand, twenty-nine".