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103542131 = 7112116373
BaseRepresentation
bin1100010101111…
…10110101110011
321012211111002202
412022332311303
5203001322011
614135133415
72365044050
oct612766563
9235744082
10103542131
11534a0810
122a81426b
13185b3b44
14da74027
15915423b
hex62bed73

103542131 has 16 divisors (see below), whose sum is σ = 129723648. Its totient is φ = 80287200.

The previous prime is 103542119. The next prime is 103542133. The reversal of 103542131 is 131245301.

It is a de Polignac number, because none of the positive numbers 2k-103542131 is a prime.

It is a super-3 number, since 3×1035421313 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103542133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13061 + ... + 19433.

It is an arithmetic number, because the mean of its divisors is an integer number (8107728).

Almost surely, 2103542131 is an apocalyptic number.

103542131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

103542131 is a deficient number, since it is larger than the sum of its proper divisors (26181517).

103542131 is a wasteful number, since it uses less digits than its factorization.

103542131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6602.

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 103542131 is about 10175.5653896970. The cubic root of 103542131 is about 469.5757919773.

Adding to 103542131 its reverse (131245301), we get a palindrome (234787432).

The spelling of 103542131 in words is "one hundred three million, five hundred forty-two thousand, one hundred thirty-one".

Divisors: 1 7 11 77 211 1477 2321 6373 16247 44611 70103 490721 1344703 9412921 14791733 103542131