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103542819 = 31371911319
BaseRepresentation
bin1100010101111…
…11000000100011
321012211112001020
412022333000203
5203001332234
614135140523
72365046052
oct612770043
9235745036
10103542819
11534a1286
122a814743
13185b4253
14da74399
159154549
hex62bf023

103542819 has 16 divisors (see below), whose sum is σ = 139898880. Its totient is φ = 68114240.

The previous prime is 103542797. The next prime is 103542827. The reversal of 103542819 is 918245301.

It is a cyclic number.

It is not a de Polignac number, because 103542819 - 211 = 103540771 is a prime.

It is a super-3 number, since 3×1035428193 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 103542819.

It is not an unprimeable number, because it can be changed into a prime (103542899) 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, 77842 + ... + 79160.

It is an arithmetic number, because the mean of its divisors is an integer number (8743680).

Almost surely, 2103542819 is an apocalyptic number.

103542819 is a deficient number, since it is larger than the sum of its proper divisors (36356061).

103542819 is a wasteful number, since it uses less digits than its factorization.

103542819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650.

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 103542819 is about 10175.5991961162. The cubic root of 103542819 is about 469.5768320288.

The spelling of 103542819 in words is "one hundred three million, five hundred forty-two thousand, eight hundred nineteen".

Divisors: 1 3 137 191 411 573 1319 3957 26167 78501 180703 251929 542109 755787 34514273 103542819