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124101230144031 = 32753101607606247
BaseRepresentation
bin11100001101111010010001…
…101111010010101000011111
3121021101221222002211212111100
4130031322101233102220133
5112231233304404102111
61115535152412124143
735066006113212450
oct3415722157225037
9537357862755440
10124101230144031
11365a7044116338
1211b03796a66653
1354329078519ca
142290762969127
15e5325783c756
hex70de91bd2a1f

124101230144031 has 96 divisors (see below), whose sum is σ = 211145178636288. Its totient is φ = 68774486227200.

The previous prime is 124101230144009. The next prime is 124101230144093. The reversal of 124101230144031 is 130441032101421.

It is a happy number.

124101230144031 is a `hidden beast` number, since 1 + 2 + 4 + 10 + 1 + 230 + 14 + 403 + 1 = 666.

It is not a de Polignac number, because 124101230144031 - 221 = 124101228046879 is a prime.

It is a super-2 number, since 2×1241012301440312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 124101230143986 and 124101230144004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124101230148031) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 204400950 + ... + 205007196.

It is an arithmetic number, because the mean of its divisors is an integer number (2199428944128).

Almost surely, 2124101230144031 is an apocalyptic number.

124101230144031 is a deficient number, since it is larger than the sum of its proper divisors (87043948492257).

124101230144031 is a wasteful number, since it uses less digits than its factorization.

124101230144031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607021 (or 607018 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 124101230144031 its reverse (130441032101421), we get a palindrome (254542262245452).

The spelling of 124101230144031 in words is "one hundred twenty-four trillion, one hundred one billion, two hundred thirty million, one hundred forty-four thousand, thirty-one".

Divisors: 1 3 7 9 21 53 63 101 159 303 371 477 607 707 909 1113 1821 2121 3339 4249 5353 5463 6363 12747 16059 32171 37471 38241 48177 61307 96513 112413 183921 225197 289539 337239 429149 551763 606247 675591 1287447 1818741 2026773 3249271 3862341 4243729 5456223 9747813 12731187 22744897 29243439 32131091 38193561 61230947 68234691 96393273 183692841 204704073 224917637 289179819 367991929 428616629 551078523 674752911 1103975787 1285849887 2024258733 2575943503 3245240191 3311927361 3857549661 7727830509 9735720573 19503572237 22716681337 23183491527 29207161719 37167184829 58510716711 68150044011 111501554487 136525005659 175532150133 204450132033 260170293803 334504663461 409575016977 780510881409 1228725050931 1969860795937 2341532644227 5909582387811 13789025571559 17728747163433 41367076714677 124101230144031