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103300329 = 31173137313
BaseRepresentation
bin1100010100000…
…11110011101001
321012101012102010
412022003303221
5202421102304
614130030133
72363016066
oct612036351
9235335363
10103300329
1153346080
122a718349
131852aa72
14da0dc6d
159107789
hex6283ce9

103300329 has 32 divisors (see below), whose sum is σ = 153915264. Its totient is φ = 61102080.

The previous prime is 103300271. The next prime is 103300333. The reversal of 103300329 is 923003301.

It is not a de Polignac number, because 103300329 - 217 = 103169257 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (103300369) 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 in 31 ways as a sum of consecutive naturals, for example, 329877 + ... + 330189.

It is an arithmetic number, because the mean of its divisors is an integer number (4809852).

Almost surely, 2103300329 is an apocalyptic number.

It is an amenable number.

103300329 is a deficient number, since it is larger than the sum of its proper divisors (50614935).

103300329 is a wasteful number, since it uses less digits than its factorization.

103300329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537.

The product of its (nonzero) digits is 486, while the sum is 21.

The square root of 103300329 is about 10163.6769429179. The cubic root of 103300329 is about 469.2099735221.

The spelling of 103300329 in words is "one hundred three million, three hundred thousand, three hundred twenty-nine".

Divisors: 1 3 11 33 73 137 219 313 411 803 939 1507 2409 3443 4521 10001 10329 22849 30003 42881 68547 110011 128643 251339 330033 471691 754017 1415073 3130313 9390939 34433443 103300329