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124242105122541 = 3476133110852453
BaseRepresentation
bin11100001111111101011110…
…100010101011111011101101
3121021220102120220222021010000
4130033331132202223323231
5112241040312402410131
61120124011331534513
735112124120605510
oct3417753642537355
9537812526867100
10124242105122541
11366508653a180a
1211b26b5175a439
135442c98789463
1422974c847cd77
15e56c50296ce6
hex70ff5e8abeed

124242105122541 has 80 divisors (see below), whose sum is σ = 216238531915648. Its totient is φ = 69620650070400.

The previous prime is 124242105122537. The next prime is 124242105122587. The reversal of 124242105122541 is 145221501242421.

124242105122541 is a `hidden beast` number, since 1 + 2 + 4 + 2 + 4 + 2 + 105 + 1 + 2 + 2 + 541 = 666.

It is not a de Polignac number, because 124242105122541 - 22 = 124242105122537 is a prime.

It is a super-2 number, since 2×1242421051225412 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 124242105122496 and 124242105122505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124242105122521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6022071 + ... + 16874523.

Almost surely, 2124242105122541 is an apocalyptic number.

It is an amenable number.

124242105122541 is a deficient number, since it is larger than the sum of its proper divisors (91996426793107).

124242105122541 is a wasteful number, since it uses less digits than its factorization.

124242105122541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10852864 (or 10852855 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

Adding to 124242105122541 its reverse (145221501242421), we get a palindrome (269463606364962).

The spelling of 124242105122541 in words is "one hundred twenty-four trillion, two hundred forty-two billion, one hundred five million, one hundred twenty-two thousand, five hundred forty-one".

Divisors: 1 3 7 9 21 27 61 63 81 183 189 331 427 549 567 993 1281 1647 2317 2979 3843 4941 6951 8937 11529 20191 20853 26811 34587 60573 62559 141337 181719 187677 424011 545157 1272033 1635471 3816099 10852453 11448297 32557359 75967171 97672077 227901513 293016231 661999633 683704539 879048693 1985998899 2051113617 3592161943 4633997431 5957996697 6153340851 10776485829 13901992293 17873990091 25145133601 32329457487 41705976879 53621970273 75435400803 96988372461 125117930637 219121878523 226306202409 290965117383 375353791911 657365635569 678918607227 1533853149661 1972096906707 2036755821681 4601559448983 5916290720121 13804678346949 17748872160363 41414035040847 124242105122541