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10233212223 = 31319291992393
BaseRepresentation
bin10011000011111001…
…00110110100111111
3222102011121001011010
421201330212310333
5131424200242343
64411233130303
7511405603653
oct114174466477
928364531133
1010233212223
114381421893
121b970b9993
13c71102880
146d110ca63
153ed5c7d33
hex261f26d3f

10233212223 has 64 divisors (see below), whose sum is σ = 16087680000. Its totient is φ = 5728859136.

The previous prime is 10233212221. The next prime is 10233212291. The reversal of 10233212223 is 32221233201.

It is a happy number.

It is not a de Polignac number, because 10233212223 - 21 = 10233212221 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10233212223.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10233212221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4275115 + ... + 4277507.

It is an arithmetic number, because the mean of its divisors is an integer number (251370000).

Almost surely, 210233212223 is an apocalyptic number.

10233212223 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10233212223 is a deficient number, since it is larger than the sum of its proper divisors (5854467777).

10233212223 is a wasteful number, since it uses less digits than its factorization.

10233212223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2656.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 10233212223 its reverse (32221233201), we get a palindrome (42454445424).

The spelling of 10233212223 in words is "ten billion, two hundred thirty-three million, two hundred twelve thousand, two hundred twenty-three".

Divisors: 1 3 13 19 29 39 57 87 199 247 377 551 597 741 1131 1653 2393 2587 3781 5771 7163 7179 7761 11343 17313 21489 31109 45467 49153 69397 75023 93327 109649 136401 147459 208191 225069 328947 476207 591071 902161 1318543 1425437 1428621 1773213 2706483 3955629 4276311 6190691 9047933 13810003 17141059 18572073 27143799 41430009 51423177 117623129 179530039 262390057 352869387 538590117 787170171 3411070741 10233212223