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202431123555102 = 232131819834862161
BaseRepresentation
bin101110000001110000101011…
…001101100000001100011110
3222112202020010001111200202100
4232001300223031200030132
5203013112420112230402
61554311324020305530
760432110644502361
oct5601605315401436
9875666101450670
10202431123555102
11595566149730a2
121a8546118422a6
1388c5233233980
1437dba0bdd20d8
151860a7102971c
hexb81c2b36031e

202431123555102 has 96 divisors (see below), whose sum is σ = 475432158067776. Its totient is φ = 61879348915200.

The previous prime is 202431123555091. The next prime is 202431123555131. The reversal of 202431123555102 is 201555321134202.

202431123555102 is a `hidden beast` number, since 2 + 0 + 2 + 4 + 311 + 235 + 5 + 5 + 102 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39202902 + ... + 44065062.

It is an arithmetic number, because the mean of its divisors is an integer number (4952418313206).

Almost surely, 2202431123555102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202431123555102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237716079033888).

202431123555102 is an abundant number, since it is smaller than the sum of its proper divisors (273001034512674).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

202431123555102 is a wasteful number, since it uses less digits than its factorization.

202431123555102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4863346 (or 4863343 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 202431123555102 its reverse (201555321134202), we get a palindrome (403986444689304).

The spelling of 202431123555102 in words is "two hundred two trillion, four hundred thirty-one billion, one hundred twenty-three million, five hundred fifty-five thousand, one hundred two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 181 234 362 543 983 1086 1629 1966 2353 2949 3258 4706 5898 7059 8847 12779 14118 17694 21177 25558 38337 42354 76674 115011 177923 230022 355846 533769 1067538 1601307 2312999 3202614 4625998 4862161 6938997 9724322 13877994 14586483 20816991 29172966 41633982 43759449 63208093 87518898 126416186 189624279 379248558 568872837 880051141 1137745674 1760102282 2640153423 4779504263 5280306846 7920460269 9559008526 11440664833 14338512789 15840920538 22881329666 28677025578 34321994499 43015538367 62133555419 68643988998 86031076734 102965983497 124267110838 186400666257 205931966994 372801332514 559201998771 865090271603 1118403997542 1730180543206 2595270814809 5190541629618 7785812444427 11246173530839 15571624888854 22492347061678 33738520592517 67477041185034 101215561777551 202431123555102