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232103442402 = 232135335353017
BaseRepresentation
bin1101100000101001110…
…0010111011111100010
3211012002200120112101200
43120022130113133202
512300321440124102
6254343222142030
722524511464666
oct3301234273742
9735080515350
10232103442402
118a486384687
1238b96b81916
1318b6c408c40
14b33ba308a6
156086a9551c
hex360a7177e2

232103442402 has 96 divisors (see below), whose sum is σ = 553366680048. Its totient is φ = 69869150208.

The previous prime is 232103442401. The next prime is 232103442427. The reversal of 232103442402 is 204244301232.

232103442402 is a `hidden beast` number, since 2 + 3 + 210 + 3 + 4 + 42 + 402 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 152608203801 + 79495238601 = 390651^2 + 281949^2 .

It is not an unprimeable number, because it can be changed into a prime (232103442401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4351398 + ... + 4404414.

Almost surely, 2232103442402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232103442402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276683340024).

232103442402 is an abundant number, since it is smaller than the sum of its proper divisors (321263237646).

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

232103442402 is a wasteful number, since it uses less digits than its factorization.

232103442402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53444 (or 53441 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 232103442402 its reverse (204244301232), we get a palindrome (436347743634).

The spelling of 232103442402 in words is "two hundred thirty-two billion, one hundred three million, four hundred forty-two thousand, four hundred two".

Divisors: 1 2 3 6 9 13 18 26 39 53 78 106 117 159 234 318 353 477 689 706 954 1059 1378 2067 2118 3177 4134 4589 6201 6354 9178 12402 13767 18709 27534 37418 41301 53017 56127 82602 106034 112254 159051 168381 243217 318102 336762 477153 486434 689221 729651 954306 1378442 1459302 2067663 2188953 2809901 4135326 4377906 5619802 6202989 8429703 12405978 16859406 18715001 25289109 36528713 37430002 50578218 56145003 73057426 109586139 112290006 168435009 219172278 243295013 328758417 336870018 486590026 657516834 729885039 991895053 1459770078 1983790106 2189655117 2975685159 4379310234 5951370318 8927055477 12894635689 17854110954 25789271378 38683907067 77367814134 116051721201 232103442402