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104421141 = 32112937983
BaseRepresentation
bin1100011100101…
…01011100010101
321021111010212200
412032111130111
5203212434031
614210035113
72405364546
oct616253425
9237433780
10104421141
1153a41170
122ab78a99
1318830c76
14dc224cd
1592798e6
hex6395715

104421141 has 48 divisors (see below), whose sum is σ = 174994560. Its totient is φ = 59391360.

The previous prime is 104421103. The next prime is 104421151. The reversal of 104421141 is 141124401.

104421141 is a `hidden beast` number, since 104 + 421 + 141 = 666.

It is not a de Polignac number, because 104421141 - 27 = 104421013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104421151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105736 + ... + 106718.

It is an arithmetic number, because the mean of its divisors is an integer number (3645720).

Almost surely, 2104421141 is an apocalyptic number.

104421141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

104421141 is a deficient number, since it is larger than the sum of its proper divisors (70573419).

104421141 is a wasteful number, since it uses less digits than its factorization.

104421141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 104421141 is about 10218.6663024095. Note that the first 3 decimals coincide. The cubic root of 104421141 is about 470.9008540821.

Adding to 104421141 its reverse (141124401), we get a palindrome (245545542).

It can be divided in two parts, 1044 and 21141, that multiplied together give a square (22071204 = 46982).

The spelling of 104421141 in words is "one hundred four million, four hundred twenty-one thousand, one hundred forty-one".

Divisors: 1 3 9 11 29 33 37 87 99 111 261 319 333 407 957 983 1073 1221 2871 2949 3219 3663 8847 9657 10813 11803 28507 32439 35409 36371 85521 97317 106227 109113 256563 313577 327339 400081 940731 1054759 1200243 2822193 3164277 3600729 9492831 11602349 34807047 104421141