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1014334129 is a prime number
BaseRepresentation
bin111100011101011…
…000001010110001
32121200122111211201
4330131120022301
54034132143004
6244352411201
734064461234
oct7435301261
92550574751
101014334129
11480624276
12243846b01
131321b8713
14989dd41b
155e0b36a4
hex3c7582b1

1014334129 has 2 divisors, whose sum is σ = 1014334130. Its totient is φ = 1014334128.

The previous prime is 1014334093. The next prime is 1014334147. The reversal of 1014334129 is 9214334101.

1014334129 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., 884943504 + 129390625 = 29748^2 + 11375^2 .

It is a cyclic number.

It is not a de Polignac number, because 1014334129 - 27 = 1014334001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1014334097 and 1014334106.

It is not a weakly prime, because it can be changed into another prime (1014334729) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 507167064 + 507167065.

It is an arithmetic number, because the mean of its divisors is an integer number (507167065).

Almost surely, 21014334129 is an apocalyptic number.

It is an amenable number.

1014334129 is a deficient number, since it is larger than the sum of its proper divisors (1).

1014334129 is an equidigital number, since it uses as much as digits as its factorization.

1014334129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 1014334129 is about 31848.6126699422. The cubic root of 1014334129 is about 1004.7553933879.

Subtracting from 1014334129 its sum of digits (28), we obtain a palindrome (1014334101).

The spelling of 1014334129 in words is "one billion, fourteen million, three hundred thirty-four thousand, one hundred twenty-nine".