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107320329 = 3329413343
BaseRepresentation
bin1100110010110…
…01010000001001
321110221102211000
412121121100021
5204433222304
614352125213
72442131154
oct631312011
9243842730
10107320329
1155641396
122bb36809
131930776c
1410378c9b
15964d939
hex6659409

107320329 has 32 divisors (see below), whose sum is σ = 168537600. Its totient is φ = 67374720.

The previous prime is 107320327. The next prime is 107320331. The reversal of 107320329 is 923023701.

107320329 is a `hidden beast` number, since 10 + 7 + 320 + 329 = 666.

It is an interprime number because it is at equal distance from previous prime (107320327) and next prime (107320331).

It is not a de Polignac number, because 107320329 - 21 = 107320327 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (107320327) 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 31 ways as a sum of consecutive naturals, for example, 30432 + ... + 33774.

It is an arithmetic number, because the mean of its divisors is an integer number (5266800).

Almost surely, 2107320329 is an apocalyptic number.

It is an amenable number.

107320329 is a deficient number, since it is larger than the sum of its proper divisors (61217271).

107320329 is a wasteful number, since it uses less digits than its factorization.

107320329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3422 (or 3416 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 107320329 is about 10359.5525482523. The cubic root of 107320329 is about 475.2192214320.

The spelling of 107320329 in words is "one hundred seven million, three hundred twenty thousand, three hundred twenty-nine".

Divisors: 1 3 9 27 29 41 87 123 261 369 783 1107 1189 3343 3567 10029 10701 30087 32103 90261 96947 137063 290841 411189 872523 1233567 2617569 3700701 3974827 11924481 35773443 107320329