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230122133303202 = 232716395311757293
BaseRepresentation
bin110100010100101101111100…
…000000101010111110100010
31010011210110110010200110101200
4310110231330000222332202
5220130310112111200302
62133232352033142030
766320526662660220
oct6424557400527642
91104713403613350
10230122133303202
1167362280a83818
12219872649ba916
139b5356886397a
1440b7d83791b10
151b9101126381c
hexd14b7c02afa2

230122133303202 has 96 divisors (see below), whose sum is σ = 573923747299968. Its totient is φ = 65277237650688.

The previous prime is 230122133303171. The next prime is 230122133303207. The reversal of 230122133303202 is 202303331221032.

230122133303202 is a `hidden beast` number, since 2 + 3 + 0 + 1 + 2 + 2 + 1 + 3 + 330 + 320 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (230122133303207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13694068 + ... + 25451360.

It is an arithmetic number, because the mean of its divisors is an integer number (5978372367708).

Almost surely, 2230122133303202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230122133303202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286961873649984).

230122133303202 is an abundant number, since it is smaller than the sum of its proper divisors (343801613996766).

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

230122133303202 is a wasteful number, since it uses less digits than its factorization.

230122133303202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11758424 (or 11758421 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 230122133303202 its reverse (202303331221032), we get a palindrome (432425464524234).

The spelling of 230122133303202 in words is "two hundred thirty trillion, one hundred twenty-two billion, one hundred thirty-three million, three hundred three thousand, two hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 163 326 489 953 978 1141 1467 1906 2282 2859 2934 3423 5718 6671 6846 8577 10269 13342 17154 20013 20538 40026 60039 120078 155339 310678 466017 932034 1087373 1398051 2174746 2796102 3262119 6524238 9786357 11757293 19572714 23514586 35271879 70543758 82301051 105815637 164602102 211631274 246903153 493806306 740709459 1481418918 1916438759 3832877518 5749316277 11204700229 11498632554 13415071313 17247948831 22409400458 26830142626 33614100687 34495897662 40245213939 67228201374 78432901603 80490427878 100842302061 120735641817 156865803206 201684604122 235298704809 241471283634 470597409618 705896114427 1411792228854 1826366137327 3652732274654 5479098411981 10958196823962 12784562961289 16437295235943 25569125922578 32874590471886 38353688883867 76707377767734 115061066651601 230122133303202