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8100141 = 37255103
BaseRepresentation
bin11110111001100100101101
3120020112022020
4132321210231
54033201031
6445340353
7125564400
oct36714455
916215266
108100141
114632835
1228676b9
1318a7baa
14110bd37
15aa0096
hex7b992d

8100141 has 12 divisors (see below), whose sum is σ = 12563712. Its totient is φ = 4628568.

The previous prime is 8100139. The next prime is 8100167. The reversal of 8100141 is 1410018.

It is not a de Polignac number, because 8100141 - 21 = 8100139 is a prime.

It is a super-3 number, since 3×81001413 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

8100141 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 8100141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8100181) 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, 27405 + ... + 27698.

It is an arithmetic number, because the mean of its divisors is an integer number (1046976).

Almost surely, 28100141 is an apocalyptic number.

It is an amenable number.

8100141 is a deficient number, since it is larger than the sum of its proper divisors (4463571).

8100141 is a wasteful number, since it uses less digits than its factorization.

8100141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55120 (or 55113 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 8100141 is about 2846.0746652187. The cubic root of 8100141 is about 200.8310503271.

Adding to 8100141 its reverse (1410018), we get a palindrome (9510159).

The spelling of 8100141 in words is "eight million, one hundred thousand, one hundred forty-one".

Divisors: 1 3 7 21 49 147 55103 165309 385721 1157163 2700047 8100141