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232203011130 = 232513719397577
BaseRepresentation
bin1101100001000001100…
…0001100010000111010
3211012100121221011000100
43120100120030100322
512301022432324010
6254401140220230
722530131012556
oct3302030142072
9735317834010
10232203011130
118a527601092
123900439a676
1318b86c2b34c
14b34ad4c866
1560906b22c0
hex361060c43a

232203011130 has 96 divisors (see below), whose sum is σ = 611291822544. Its totient is φ = 61149708288.

The previous prime is 232203011123. The next prime is 232203011137. The reversal of 232203011130 is 31110302232.

232203011130 is a `hidden beast` number, since 2 + 322 + 0 + 301 + 11 + 30 = 666.

It is an interprime number because it is at equal distance from previous prime (232203011123) and next prime (232203011137).

It can be written as a sum of positive squares in 8 ways, for example, as 36133827921 + 196069183209 = 190089^2 + 442797^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (232203011137) 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, 2330902 + ... + 2428478.

Almost surely, 2232203011130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232203011130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305645911272).

232203011130 is an abundant number, since it is smaller than the sum of its proper divisors (379088811414).

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

232203011130 is a wasteful number, since it uses less digits than its factorization.

232203011130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97920 (or 97917 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 232203011130 its reverse (31110302232), we get a palindrome (263313313362).

The spelling of 232203011130 in words is "two hundred thirty-two billion, two hundred three million, eleven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 137 193 274 386 411 579 685 822 965 1158 1233 1370 1737 1930 2055 2466 2895 3474 4110 5790 6165 8685 12330 17370 26441 52882 79323 97577 132205 158646 195154 237969 264410 292731 396615 475938 487885 585462 793230 878193 975770 1189845 1463655 1756386 2379690 2927310 4390965 8781930 13368049 18832361 26736098 37664722 40104147 56497083 66840245 80208294 94161805 112994166 120312441 133680490 169491249 188323610 200520735 240624882 282485415 338982498 401041470 564970830 601562205 847456245 1203124410 1694912490 2580033457 5160066914 7740100371 12900167285 15480200742 23220301113 25800334570 38700501855 46440602226 77401003710 116101505565 232203011130