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232210002321 = 321135937917239
BaseRepresentation
bin1101100001000011001…
…0110111000110010001
3211012101010002100010100
43120100302313012101
512301031230033241
6254401550123013
722530244311213
oct3302062670621
9735333070110
10232210002321
118a530546730
12390067b0469
1318b8850854b
14b34bc4c5b3
1560910e39b6
hex3610cb7191

232210002321 has 48 divisors (see below), whose sum is σ = 367915392000. Its totient is φ = 139962906720.

The previous prime is 232210002307. The next prime is 232210002329. The reversal of 232210002321 is 123200012232.

It is not a de Polignac number, because 232210002321 - 213 = 232209994129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 232210002294 and 232210002303.

It is not an unprimeable number, because it can be changed into a prime (232210002329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13461420 + ... + 13478658.

It is an arithmetic number, because the mean of its divisors is an integer number (7664904000).

Almost surely, 2232210002321 is an apocalyptic number.

It is an amenable number.

232210002321 is a deficient number, since it is larger than the sum of its proper divisors (135705389679).

232210002321 is a wasteful number, since it uses less digits than its factorization.

232210002321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17994 (or 17991 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 232210002321 its reverse (123200012232), we get a palindrome (355410014553).

The spelling of 232210002321 in words is "two hundred thirty-two billion, two hundred ten million, two thousand, three hundred twenty-one".

Divisors: 1 3 9 11 33 99 359 379 1077 1137 3231 3411 3949 4169 11847 12507 17239 35541 37521 51717 136061 155151 189629 408183 568887 1224549 1496671 1706661 4490013 6188801 6533581 13470039 18566403 19600743 55699209 58802229 68076811 71869391 204230433 215608173 612691299 646824519 2345555579 7036666737 21110000211 25801111369 77403334107 232210002321