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110309953 = 13191972267
BaseRepresentation
bin1101001001100…
…11001001000001
321200120022210211
412210303021001
5211214404303
614540154121
72506422235
oct644631101
9250508724
10110309953
11572a3556
1230b38941
1319b13480
14109165c5
159a3e66d
hex6933241

110309953 has 16 divisors (see below), whose sum is σ = 125737920. Its totient is φ = 95933376.

The previous prime is 110309933. The next prime is 110309959. The reversal of 110309953 is 359903011.

It is a cyclic number.

It is not a de Polignac number, because 110309953 - 221 = 108212801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110309959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47526 + ... + 49792.

It is an arithmetic number, because the mean of its divisors is an integer number (7858620).

Almost surely, 2110309953 is an apocalyptic number.

110309953 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

110309953 is a deficient number, since it is larger than the sum of its proper divisors (15427967).

110309953 is a wasteful number, since it uses less digits than its factorization.

110309953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2496.

The product of its (nonzero) digits is 3645, while the sum is 31.

The square root of 110309953 is about 10502.8545167492. The cubic root of 110309953 is about 479.5915985069.

The spelling of 110309953 in words is "one hundred ten million, three hundred nine thousand, nine hundred fifty-three".

Divisors: 1 13 19 197 247 2267 2561 3743 29471 43073 48659 446599 559949 5805787 8485381 110309953