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100452141 = 3211398773
BaseRepresentation
bin1011111110011…
…00011100101101
321000000111102200
411333030130231
5201203432031
613545012113
72326554246
oct577143455
9230014380
10100452141
11517801a9
1229784039
1317a7154a
14d4abccd
158c438e6
hex5fcc72d

100452141 has 12 divisors (see below), whose sum is σ = 146383068. Its totient is φ = 66374784.

The previous prime is 100452139. The next prime is 100452181. The reversal of 100452141 is 141254001.

100452141 is a `hidden beast` number, since 100 + 4 + 521 + 41 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29387241 + 71064900 = 5421^2 + 8430^2 .

It is not a de Polignac number, because 100452141 - 21 = 100452139 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100452101) 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 11 ways as a sum of consecutive naturals, for example, 48370 + ... + 50403.

It is an arithmetic number, because the mean of its divisors is an integer number (12198589).

Almost surely, 2100452141 is an apocalyptic number.

It is an amenable number.

100452141 is a deficient number, since it is larger than the sum of its proper divisors (45930927).

100452141 is a wasteful number, since it uses less digits than its factorization.

100452141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98892 (or 98889 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 100452141 is about 10022.5815536717. The cubic root of 100452141 is about 464.8573825552.

The spelling of 100452141 in words is "one hundred million, four hundred fifty-two thousand, one hundred forty-one".

Divisors: 1 3 9 113 339 1017 98773 296319 888957 11161349 33484047 100452141