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1014133129 is a prime number
BaseRepresentation
bin111100011100100…
…111000110001001
32121200021022010021
4330130213012021
54034104230004
6244344220441
734062663232
oct7434470611
92550238107
101014133129
114804a7259
1224376a721
13132148099
149898a089
155e073d54
hex3c727189

1014133129 has 2 divisors, whose sum is σ = 1014133130. Its totient is φ = 1014133128.

The previous prime is 1014133117. The next prime is 1014133139. The reversal of 1014133129 is 9213314101.

1014133129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 825125625 + 189007504 = 28725^2 + 13748^2 .

It is a cyclic number.

It is not a de Polignac number, because 1014133129 - 25 = 1014133097 is a prime.

It is not a weakly prime, because it can be changed into another prime (1014133139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 507066564 + 507066565.

It is an arithmetic number, because the mean of its divisors is an integer number (507066565).

Almost surely, 21014133129 is an apocalyptic number.

It is an amenable number.

1014133129 is a deficient number, since it is larger than the sum of its proper divisors (1).

1014133129 is an equidigital number, since it uses as much as digits as its factorization.

1014133129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 25.

The square root of 1014133129 is about 31845.4569601380. The cubic root of 1014133129 is about 1004.6890217097.

The spelling of 1014133129 in words is "one billion, fourteen million, one hundred thirty-three thousand, one hundred twenty-nine".