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230301220329 = 3389299931957
BaseRepresentation
bin1101011001111100000…
…1011011110111101001
3211000110002101011111000
43112133001123313221
512233124103022304
6253444322225213
722432036034145
oct3263701336751
9730402334430
10230301220329
1189741042554
12387734b5209
1318942c1b64b
14b20a53a225
155ecd74d939
hex359f05bde9

230301220329 has 32 divisors (see below), whose sum is σ = 345146400000. Its totient is φ = 151753675392.

The previous prime is 230301220291. The next prime is 230301220343. The reversal of 230301220329 is 923022103032.

230301220329 is a `hidden beast` number, since 2 + 30 + 301 + 2 + 2 + 0 + 329 = 666.

It is not a de Polignac number, because 230301220329 - 215 = 230301187561 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (230301220529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7190619 + ... + 7222575.

It is an arithmetic number, because the mean of its divisors is an integer number (10785825000).

Almost surely, 2230301220329 is an apocalyptic number.

It is an amenable number.

230301220329 is a deficient number, since it is larger than the sum of its proper divisors (114845179671).

230301220329 is a wasteful number, since it uses less digits than its factorization.

230301220329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35054 (or 35048 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The spelling of 230301220329 in words is "two hundred thirty billion, three hundred one million, two hundred twenty thousand, three hundred twenty-nine".

Divisors: 1 3 9 27 89 267 801 2403 2999 8997 26991 31957 80973 95871 266911 287613 800733 862839 2402199 2844173 7206597 8532519 25597557 76792671 95839043 287517129 862551387 2587654161 8529674827 25589024481 76767073443 230301220329