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4600117129 is a prime number
BaseRepresentation
bin1000100100011000…
…00011011110001001
3102212120221011101111
410102030003132021
533410112222004
62040244250321
7221665231126
oct42214033611
912776834344
104600117129
111a507120a3
12a846a09a1
1358405b6ca
14318d2b74d
151bdcb7a04
hex112303789

4600117129 has 2 divisors, whose sum is σ = 4600117130. Its totient is φ = 4600117128.

The previous prime is 4600117127. The next prime is 4600117157. The reversal of 4600117129 is 9217110064.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4442489104 + 157628025 = 66652^2 + 12555^2 .

It is a cyclic number.

It is not a de Polignac number, because 4600117129 - 21 = 4600117127 is a prime.

It is a super-2 number, since 2×46001171292 = 42322155201038405282, which contains 22 as substring.

Together with 4600117127, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 4600117129.

It is not a weakly prime, because it can be changed into another prime (4600117121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2300058564 + 2300058565.

It is an arithmetic number, because the mean of its divisors is an integer number (2300058565).

Almost surely, 24600117129 is an apocalyptic number.

It is an amenable number.

4600117129 is a deficient number, since it is larger than the sum of its proper divisors (1).

4600117129 is an equidigital number, since it uses as much as digits as its factorization.

4600117129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 31.

The square root of 4600117129 is about 67824.1633122002. The cubic root of 4600117129 is about 1663.1176144927.

The spelling of 4600117129 in words is "four billion, six hundred million, one hundred seventeen thousand, one hundred twenty-nine".