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103546516021 = 13411014119157
BaseRepresentation
bin110000001101111011…
…0100111001000110101
3100220021100001000121221
41200123312213020311
53144030402003041
6115322453110341
710323656602234
oct1403366471065
9326240030557
10103546516021
113aa06344083
12180996283b1
1399c24b4730
14502408ab1b
152a607842d1
hex181bda7235

103546516021 has 16 divisors (see below), whose sum is σ = 114248656368. Its totient is φ = 93236083200.

The previous prime is 103546515977. The next prime is 103546516039. The reversal of 103546516021 is 120615645301.

It can be written as a sum of positive squares in 8 ways, for example, as 69132184900 + 34414331121 = 262930^2 + 185511^2 .

It is not a de Polignac number, because 103546516021 - 221 = 103544418869 is a prime.

It is a super-3 number, since 3×1035465160213 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103546516091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5395575 + ... + 5414731.

It is an arithmetic number, because the mean of its divisors is an integer number (7140541023).

Almost surely, 2103546516021 is an apocalyptic number.

It is an amenable number.

103546516021 is a deficient number, since it is larger than the sum of its proper divisors (10702140347).

103546516021 is a wasteful number, since it uses less digits than its factorization.

103546516021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29352.

The product of its (nonzero) digits is 21600, while the sum is 34.

The spelling of 103546516021 in words is "one hundred three billion, five hundred forty-six million, five hundred sixteen thousand, twenty-one".

Divisors: 1 13 41 533 10141 19157 131833 249041 415781 785437 5405153 10210681 194271137 2525524781 7965116617 103546516021