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232000320321 = 32711595674183
BaseRepresentation
bin1101100000010001001…
…0111111001101000001
3211011211111112101111100
43120010102333031001
512300114040222241
6254325100005013
722522120120350
oct3300422771501
9734744471440
10232000320321
118a433150520
1238b68530769
1318b53c41363
14b32c069997
15607c9c59b6
hex36044bf341

232000320321 has 48 divisors (see below), whose sum is σ = 424882897920. Its totient is φ = 118476920160.

The previous prime is 232000320319. The next prime is 232000320337. The reversal of 232000320321 is 123023000232.

It is a happy number.

232000320321 is a `hidden beast` number, since 2 + 3 + 20 + 0 + 0 + 320 + 321 = 666.

It is not a de Polignac number, because 232000320321 - 21 = 232000320319 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 232000320294 and 232000320303.

It is not an unprimeable number, because it can be changed into a prime (232000320821) 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, 2796205 + ... + 2877978.

It is an arithmetic number, because the mean of its divisors is an integer number (8851727040).

Almost surely, 2232000320321 is an apocalyptic number.

232000320321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

232000320321 is a deficient number, since it is larger than the sum of its proper divisors (192882577599).

232000320321 is a wasteful number, since it uses less digits than its factorization.

232000320321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5674266 (or 5674263 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 232000320321 its reverse (123023000232), we get a palindrome (355023320553).

The spelling of 232000320321 in words is "two hundred thirty-two billion, three hundred twenty thousand, three hundred twenty-one".

Divisors: 1 3 7 9 11 21 33 59 63 77 99 177 231 413 531 649 693 1239 1947 3717 4543 5841 13629 40887 5674183 17022549 39719281 51067647 62416013 119157843 187248039 334776797 357473529 436912091 561744117 1004330391 1310736273 2343437579 3012991173 3682544767 3932208819 7030312737 11047634301 21090938211 25777813369 33142902903 77333440107 232000320321