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103641369 = 31316715913
BaseRepresentation
bin1100010110101…
…11000100011001
321020000112020020
412023113010121
5203013010434
614141221053
72365636266
oct613270431
9236015206
10103641369
1153559327
122a861789
131861a070
14da9c26d
159173849
hex62d7119

103641369 has 16 divisors (see below), whose sum is σ = 149718912. Its totient is φ = 63393408.

The previous prime is 103641337. The next prime is 103641383. The reversal of 103641369 is 963146301.

It is not a de Polignac number, because 103641369 - 25 = 103641337 is a prime.

It is a super-3 number, since 3×1036413693 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (103641169) 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 15 ways as a sum of consecutive naturals, for example, 1444 + ... + 14469.

It is an arithmetic number, because the mean of its divisors is an integer number (9357432).

Almost surely, 2103641369 is an apocalyptic number.

It is an amenable number.

103641369 is a deficient number, since it is larger than the sum of its proper divisors (46077543).

103641369 is a wasteful number, since it uses less digits than its factorization.

103641369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16096.

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 103641369 is about 10180.4405110977. The cubic root of 103641369 is about 469.7257627585.

The spelling of 103641369 in words is "one hundred three million, six hundred forty-one thousand, three hundred sixty-nine".

Divisors: 1 3 13 39 167 501 2171 6513 15913 47739 206869 620607 2657471 7972413 34547123 103641369