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124144414243101 = 3472314643217313
BaseRepresentation
bin11100001110100010011111…
…101101100011100100011101
3121021120002102200100101210000
4130032202133231203210131
5112232440230021234401
61120011053453204513
735102065213046100
oct3416423755434435
9537502380311700
10124144414243101
113661339444710a
1211b10029190739
1354369ca496355
14229289bd82737
15e54433b31186
hex70e89fb6391d

124144414243101 has 120 divisors (see below), whose sum is σ = 222735848696064. Its totient is φ = 68636187164160.

The previous prime is 124144414243099. The next prime is 124144414243151. The reversal of 124144414243101 is 101342414441421.

124144414243101 is a `hidden beast` number, since 1 + 2 + 4 + 144 + 41 + 42 + 431 + 0 + 1 = 666.

It is not a de Polignac number, because 124144414243101 - 21 = 124144414243099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124144414243151) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 571161421 + ... + 571378733.

Almost surely, 2124144414243101 is an apocalyptic number.

It is an amenable number.

124144414243101 is a deficient number, since it is larger than the sum of its proper divisors (98591434452963).

124144414243101 is a wasteful number, since it uses less digits than its factorization.

124144414243101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222013 (or 221997 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

Adding to 124144414243101 its reverse (101342414441421), we get a palindrome (225486828684522).

The spelling of 124144414243101 in words is "one hundred twenty-four trillion, one hundred forty-four billion, four hundred fourteen million, two hundred forty-three thousand, one hundred one".

Divisors: 1 3 7 9 21 27 31 49 63 81 93 147 189 217 279 441 567 651 837 1323 1519 1953 2511 3969 4557 4643 5859 13671 13929 17577 32501 41013 41787 97503 123039 125361 143933 217313 227507 292509 376083 431799 651939 682521 877527 1007531 1295397 1521191 1955817 2047563 2632581 3022593 3886191 4563573 5867451 6142689 6736703 7052717 9067779 10648337 11658573 13690719 17602353 18428067 20210109 21158151 27203337 31945011 41072157 47156921 60630327 63474453 81610011 95835033 123216471 141470763 181890981 190423359 287505099 330098447 424412289 545672943 571270077 862515297 990295341 1008984259 1273236867 2970886023 3026952777 3819710601 7062889813 8912658069 9080858331 21188669439 26737974207 27242574993 31278512029 49440228691 63566008317 81727724979 93835536087 148320686073 190698024951 218949584203 281506608261 444962058219 572094074853 656848752609 844519824783 1334886174657 1532647089421 1970546257827 2533559474349 4004658523971 4597941268263 5911638773481 13793823804789 17734916320443 41381471414367 124144414243101