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1056823129 is a prime number
BaseRepresentation
bin111110111111011…
…101011101011001
32201122121011210101
4332333131131121
54131021320004
6252511215401
735121563665
oct7677353531
92648534711
101056823129
114a260494a
12255b17561
1313ac4413b
14a04dd8a5
1562ba7ba4
hex3efdd759

1056823129 has 2 divisors, whose sum is σ = 1056823130. Its totient is φ = 1056823128.

The previous prime is 1056823099. The next prime is 1056823181. The reversal of 1056823129 is 9213286501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 938013129 + 118810000 = 30627^2 + 10900^2 .

It is a cyclic number.

It is not a de Polignac number, because 1056823129 - 211 = 1056821081 is a prime.

It is a super-2 number, since 2×10568231292 = 2233750251978701282, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1056823429) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 528411564 + 528411565.

It is an arithmetic number, because the mean of its divisors is an integer number (528411565).

Almost surely, 21056823129 is an apocalyptic number.

It is an amenable number.

1056823129 is a deficient number, since it is larger than the sum of its proper divisors (1).

1056823129 is an equidigital number, since it uses as much as digits as its factorization.

1056823129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 1056823129 is about 32508.8161734629. The cubic root of 1056823129 is about 1018.5931935553.

It can be divided in two parts, 105682 and 3129, that added together give a triangular number (108811 = T466).

The spelling of 1056823129 in words is "one billion, fifty-six million, eight hundred twenty-three thousand, one hundred twenty-nine".