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103546146041 = 1322112129009
BaseRepresentation
bin110000001101111010…
…1001100110011111001
3100220021022100020002222
41200123311030303321
53144030303133131
6115322441133425
710323653501462
oct1403365146371
9326238306088
10103546146041
113aa06111108
121809948a275
1399c23b5200
145023dd1d69
152a6070e87b
hex181bd4ccf9

103546146041 has 12 divisors (see below), whose sum is σ = 112133107260. Its totient is φ = 95573237760.

The previous prime is 103546146007. The next prime is 103546146079. The reversal of 103546146041 is 140641645301.

It can be written as a sum of positive squares in 6 ways, for example, as 22318866025 + 81227280016 = 149395^2 + 285004^2 .

It is not a de Polignac number, because 103546146041 - 214 = 103546129657 is a prime.

It is a super-3 number, since 3×1035461460413 (a number of 34 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 103546145992 and 103546146010.

It is not an unprimeable number, because it can be changed into a prime (103546146841) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3554945 + ... + 3583953.

It is an arithmetic number, because the mean of its divisors is an integer number (9344425605).

Almost surely, 2103546146041 is an apocalyptic number.

It is an amenable number.

103546146041 is a deficient number, since it is larger than the sum of its proper divisors (8586961219).

103546146041 is a wasteful number, since it uses less digits than its factorization.

103546146041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50156 (or 50143 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The spelling of 103546146041 in words is "one hundred three billion, five hundred forty-six million, one hundred forty-six thousand, forty-one".

Divisors: 1 13 169 21121 29009 274573 377117 3569449 4902521 612699089 7965088157 103546146041