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10112023233 = 341324143419
BaseRepresentation
bin10010110101011100…
…10011101011000001
3222002201120000010000
421122232103223001
5131202134220413
64351223430213
7505404531204
oct113256235301
928081500100
1010112023233
114319a787a4
121b625b5369
13c51c80700
146bcda393b
153e2b3a073
hex25ab93ac1

10112023233 has 120 divisors (see below), whose sum is σ = 17186510880. Its totient is φ = 5915669760.

The previous prime is 10112023219. The next prime is 10112023237. The reversal of 10112023233 is 33232021101.

10112023233 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10112023233 - 24 = 10112023217 is a prime.

It is a super-3 number, since 3×101120232333 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112023237) 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 119 ways as a sum of consecutive naturals, for example, 24133498 + ... + 24133916.

It is an arithmetic number, because the mean of its divisors is an integer number (143220924).

Almost surely, 210112023233 is an apocalyptic number.

10112023233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10112023233 is a deficient number, since it is larger than the sum of its proper divisors (7074487647).

10112023233 is a wasteful number, since it uses less digits than its factorization.

10112023233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10112023233 its reverse (33232021101), we get a palindrome (43344044334).

The spelling of 10112023233 in words is "ten billion, one hundred twelve million, twenty-three thousand, two hundred thirty-three".

Divisors: 1 3 9 13 27 39 41 43 81 117 123 129 169 351 369 387 419 507 533 559 1053 1107 1161 1257 1521 1599 1677 1763 3321 3483 3771 4563 4797 5031 5289 5447 6929 7267 11313 13689 14391 15093 15867 16341 17179 18017 20787 21801 22919 33939 43173 45279 47601 49023 51537 54051 62361 65403 68757 70811 142803 147069 154611 162153 187083 196209 206271 212433 223327 234221 297947 441207 463833 486459 561249 588627 618813 637299 669981 702663 738697 893841 1391499 1459377 1856439 1911897 2009943 2107989 2216091 2681523 2903251 3044873 5735691 6029829 6323967 6648273 8044569 8709753 9134619 9603061 18089487 18971901 19944819 24133707 26129259 27403857 28809183 59834457 78387777 82211571 86427549 124839793 235163331 246634713 259282647 374519379 777847941 1123558137 3370674411 10112023233