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230313531343632 = 243112503174270823
BaseRepresentation
bin110100010111100000001100…
…001110010000001100010000
31010012110202110222212022200220
4310113200030032100030100
5220141424103010444012
62133500324201313040
766340414003324002
oct6427401416201420
91105422428768626
10230313531343632
1167426469200420
12219b837b795780
139b6861ba09229
1440c333d272372
151b95eb443408c
hexd1780c390310

230313531343632 has 80 divisors (see below), whose sum is σ = 649324725224448. Its totient is φ = 69764095463040.

The previous prime is 230313531343613. The next prime is 230313531343633. The reversal of 230313531343632 is 236343135313032.

It is not an unprimeable number, because it can be changed into a prime (230313531343633) 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 15 ways as a sum of consecutive naturals, for example, 85813828 + ... + 88456995.

Almost surely, 2230313531343632 is an apocalyptic number.

230313531343632 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

230313531343632 is an abundant number, since it is smaller than the sum of its proper divisors (419011193880816).

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

230313531343632 is a wasteful number, since it uses less digits than its factorization.

230313531343632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174273348 (or 174273342 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 42.

Adding to 230313531343632 its reverse (236343135313032), we get a palindrome (466656666656664).

The spelling of 230313531343632 in words is "two hundred thirty trillion, three hundred thirteen billion, five hundred thirty-one million, three hundred forty-three thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 2503 5006 7509 10012 15018 20024 27533 30036 40048 55066 60072 82599 110132 120144 165198 220264 330396 440528 660792 1321584 174270823 348541646 522812469 697083292 1045624938 1394166584 1916979053 2091249876 2788333168 3833958106 4182499752 5750937159 7667916212 8364999504 11501874318 15335832424 23003748636 30671664848 46007497272 92014994544 436199869969 872399739938 1308599609907 1744799479876 2617199219814 3489598959752 4798198569659 5234398439628 6979197919504 9596397139318 10468796879256 14394595708977 19192794278636 20937593758512 28789191417954 38385588557272 57578382835908 76771177114544 115156765671816 230313531343632