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233201242102332 = 223737101742896779
BaseRepresentation
bin110101000001100001100101…
…001100100101101000111100
31010120200211011112010010002010
4311001201211030211220330
5221031232120434233312
62143551101024531220
7100056143113635540
oct6501414514455074
91116624145103063
10233201242102332
116833a100694129
12221a3b68180b10
13a017a2399308a
144183000d17a20
151be6175ad693c
hexd41865325a3c

233201242102332 has 96 divisors (see below), whose sum is σ = 645000813918720. Its totient is φ = 64186281619200.

The previous prime is 233201242102331. The next prime is 233201242102337.

233201242102332 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 233201242102332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233201242102331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 371134482 + ... + 371762297.

It is an arithmetic number, because the mean of its divisors is an integer number (6718758478320).

Almost surely, 2233201242102332 is an apocalyptic number.

It is an amenable number.

233201242102332 is an abundant number, since it is smaller than the sum of its proper divisors (411799571816388).

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

233201242102332 is a wasteful number, since it uses less digits than its factorization.

233201242102332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742896931 (or 742896929 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The spelling of 233201242102332 in words is "two hundred thirty-three trillion, two hundred one billion, two hundred forty-two million, one hundred two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 74 84 101 111 148 202 222 259 303 404 444 518 606 707 777 1036 1212 1414 1554 2121 2828 3108 3737 4242 7474 8484 11211 14948 22422 26159 44844 52318 78477 104636 156954 313908 742896779 1485793558 2228690337 2971587116 4457380674 5200277453 8914761348 10400554906 15600832359 20801109812 27487180823 31201664718 54974361646 62403329436 75032574679 82461542469 109948723292 150065149358 164923084938 192410265761 225097724037 300130298716 329846169876 384820531522 450195448074 525228022753 577230797283 769641063044 900390896148 1050456045506 1154461594566 1575684068259 2100912091012 2308923189132 2776205263123 3151368136518 5552410526246 6302736273036 8328615789369 11104821052492 16657231578738 19433436841861 33314463157476 38866873683722 58300310525583 77733747367444 116600621051166 233201242102332