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103413321 = 33111911823
BaseRepresentation
bin1100010100111…
…11011001001001
321012120221102000
412022133121021
5202433211241
614132301213
72363666364
oct612373111
9235527360
10103413321
1153412a60
122a771809
131856a31b
14da3d0db
15912aeb6
hex629f649

103413321 has 32 divisors (see below), whose sum is σ = 168099840. Its totient is φ = 62312400.

The previous prime is 103413319. The next prime is 103413353. The reversal of 103413321 is 123314301.

103413321 is a `hidden beast` number, since 1 + 0 + 341 + 3 + 321 = 666.

It is not a de Polignac number, because 103413321 - 21 = 103413319 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 103413294 and 103413303.

It is not an unprimeable number, because it can be changed into a prime (103413311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55816 + ... + 57638.

It is an arithmetic number, because the mean of its divisors is an integer number (5253120).

Almost surely, 2103413321 is an apocalyptic number.

103413321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

103413321 is a deficient number, since it is larger than the sum of its proper divisors (64686519).

103413321 is a wasteful number, since it uses less digits than its factorization.

103413321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2034 (or 2028 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 103413321 is about 10169.2340419522. The cubic root of 103413321 is about 469.3809883202.

Adding to 103413321 its reverse (123314301), we get a palindrome (226727622).

The spelling of 103413321 in words is "one hundred three million, four hundred thirteen thousand, three hundred twenty-one".

Divisors: 1 3 9 11 27 33 99 191 297 573 1719 1823 2101 5157 5469 6303 16407 18909 20053 49221 56727 60159 180477 348193 541431 1044579 3133737 3830123 9401211 11490369 34471107 103413321