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232002331309 = 72379107170473
BaseRepresentation
bin1101100000010001101…
…0101010001010101101
3211011211122022120001101
43120010122222022231
512300120044100214
6254325211043101
722522143164320
oct3300432521255
9734748276041
10232002331309
118a4342a43a1
1238b69140491
1318b544967a8
14b32c4307b7
15607cc71774
hex36046aa2ad

232002331309 has 32 divisors (see below), whose sum is σ = 282795909120. Its totient is φ = 186049049472.

The previous prime is 232002331219. The next prime is 232002331349. The reversal of 232002331309 is 903133200232.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 232002331309 - 219 = 232001807021 is a prime.

It is a super-3 number, since 3×2320023313093 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232002331349) 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 31 ways as a sum of consecutive naturals, for example, 1275697 + ... + 1446169.

It is an arithmetic number, because the mean of its divisors is an integer number (8837372160).

Almost surely, 2232002331309 is an apocalyptic number.

It is an amenable number.

232002331309 is a deficient number, since it is larger than the sum of its proper divisors (50793577811).

232002331309 is a wasteful number, since it uses less digits than its factorization.

232002331309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170689.

The product of its (nonzero) digits is 5832, while the sum is 28.

The spelling of 232002331309 in words is "two hundred thirty-two billion, two million, three hundred thirty-one thousand, three hundred nine".

Divisors: 1 7 23 79 107 161 553 749 1817 2461 8453 12719 17227 59171 170473 194419 1193311 1360933 3920879 13467367 18240611 27446153 94271569 127684277 309749441 419534053 1441008269 2168246087 2936738371 10087057883 33143190187 232002331309