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109829813 is a prime number
BaseRepresentation
bin1101000101111…
…01111010110101
321122122221011212
412202331322311
5211104023223
614522011205
72502352352
oct642757265
9248587155
10109829813
1156aa5845
1230946b05
13199a5a72
141082d629
159997278
hex68bdeb5

109829813 has 2 divisors, whose sum is σ = 109829814. Its totient is φ = 109829812.

The previous prime is 109829791. The next prime is 109829849. The reversal of 109829813 is 318928901.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 108951844 + 877969 = 10438^2 + 937^2 .

It is an emirp because it is prime and its reverse (318928901) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-109829813 is a prime.

It is a super-2 number, since 2×1098298132 = 24125175647229938, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (109829893) 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 as a sum of consecutive naturals, namely, 54914906 + 54914907.

It is an arithmetic number, because the mean of its divisors is an integer number (54914907).

Almost surely, 2109829813 is an apocalyptic number.

It is an amenable number.

109829813 is a deficient number, since it is larger than the sum of its proper divisors (1).

109829813 is an equidigital number, since it uses as much as digits as its factorization.

109829813 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31104, while the sum is 41.

The square root of 109829813 is about 10479.9719942374. The cubic root of 109829813 is about 478.8947559278.

The spelling of 109829813 in words is "one hundred nine million, eight hundred twenty-nine thousand, eight hundred thirteen".