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10029097037 is a prime number
BaseRepresentation
bin10010101011100011…
…11110000001001101
3221212221111220202102
421111301332001031
5131014422101122
64335102204445
7503346626651
oct112561760115
927787456672
1010029097037
114287189053
121b3a883725
13c3aa3745b
146b1d78a61
153da709492
hex255c7e04d

10029097037 has 2 divisors, whose sum is σ = 10029097038. Its totient is φ = 10029097036.

The previous prime is 10029097033. The next prime is 10029097051. The reversal of 10029097037 is 73079092001.

10029097037 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8366577961 + 1662519076 = 91469^2 + 40774^2 .

It is a cyclic number.

It is not a de Polignac number, because 10029097037 - 22 = 10029097033 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10029097033) 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, 5014548518 + 5014548519.

It is an arithmetic number, because the mean of its divisors is an integer number (5014548519).

Almost surely, 210029097037 is an apocalyptic number.

It is an amenable number.

10029097037 is a deficient number, since it is larger than the sum of its proper divisors (1).

10029097037 is an equidigital number, since it uses as much as digits as its factorization.

10029097037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23814, while the sum is 38.

The spelling of 10029097037 in words is "ten billion, twenty-nine million, ninety-seven thousand, thirty-seven".