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999309113 = 112173412
BaseRepresentation
bin111011100100000…
…011111100111001
32120122101011101122
4323210003330321
54021310342423
6243054355025
733522662435
oct7344037471
92518334348
10999309113
114730a1800
1223a7bba75
1312c05788a
1496a0b9c5
155cae68c8
hex3b903f39

999309113 has 36 divisors (see below), whose sum is σ = 1196209980. Its totient is φ = 834169600.

The previous prime is 999309107. The next prime is 999309139. The reversal of 999309113 is 311903999.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 241243024 + 758066089 = 15532^2 + 27533^2 .

It is not a de Polignac number, because 999309113 - 212 = 999305017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (999309013) 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 in 35 ways as a sum of consecutive naturals, for example, 24373373 + ... + 24373413.

It is an arithmetic number, because the mean of its divisors is an integer number (33228055).

Almost surely, 2999309113 is an apocalyptic number.

It is an amenable number.

999309113 is a deficient number, since it is larger than the sum of its proper divisors (196900867).

999309113 is an equidigital number, since it uses as much as digits as its factorization.

999309113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 59049, while the sum is 44.

The square root of 999309113 is about 31611.8508316106. The cubic root of 999309113 is about 999.7696512769.

The spelling of 999309113 in words is "nine hundred ninety-nine million, three hundred nine thousand, one hundred thirteen".

Divisors: 1 11 17 41 121 187 289 451 697 1681 2057 3179 4913 4961 7667 11849 18491 28577 34969 54043 84337 130339 201433 203401 314347 485809 594473 1433729 2215763 3457817 5343899 8258753 24373393 58782889 90846283 999309113