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232012133133320 = 23523326099541589
BaseRepresentation
bin110100110000001110001000…
…110001110110110000001000
31010102111010212110210200221202
4310300032020301312300020
5220402241322040231240
62141240522540523332
766604215642316451
oct6460161061666010
91112433773720852
10232012133133320
1167a2087a6788a1
1222031609b50548
139c5c85b86ba07
144141639016128
151bc527c113315
hexd30388c76c08

232012133133320 has 64 divisors (see below), whose sum is σ = 524468760894000. Its totient is φ = 92371121102848.

The previous prime is 232012133133229. The next prime is 232012133133367. The reversal of 232012133133320 is 23331331210232.

It can be written as a sum of positive squares in 8 ways, for example, as 49499976926884 + 182512156206436 = 7035622^2 + 13509706^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19545086 + ... + 29086674.

Almost surely, 2232012133133320 is an apocalyptic number.

232012133133320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232012133133320 is an abundant number, since it is smaller than the sum of its proper divisors (292456627760680).

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

232012133133320 is a wasteful number, since it uses less digits than its factorization.

232012133133320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9544442 (or 9544438 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 29.

Adding to 232012133133320 its reverse (23331331210232), we get a palindrome (255343464343552).

The spelling of 232012133133320 in words is "two hundred thirty-two trillion, twelve billion, one hundred thirty-three million, one hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 233 466 932 1165 1864 2330 2609 4660 5218 9320 10436 13045 20872 26090 52180 104360 607897 1215794 2431588 3039485 4863176 6078970 9541589 12157940 19083178 24315880 38166356 47707945 76332712 95415890 190831780 381663560 2223190237 4446380474 8892760948 11115951185 17785521896 22231902370 24894005701 44463804740 49788011402 88927609480 99576022804 124470028505 199152045608 248940057010 497880114020 995760228040 5800303328333 11600606656666 23201213313332 29001516641665 46402426626664 58003033283330 116006066566660 232012133133320