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232032033233 = 73111323892311
BaseRepresentation
bin1101100000011000101…
…1111101100111010001
3211011220201012120102122
43120012023331213101
512300200200030413
6254332151424025
722522653512000
oct3300613754721
9734821176378
10232032033233
118a44a040940
1238b77085015
1318b5a695bb0
14b332362c37
15608068c108
hex36062fd9d1

232032033233 has 128 divisors (see below), whose sum is σ = 335591424000. Its totient is φ = 157777804800.

The previous prime is 232032033151. The next prime is 232032033253. The reversal of 232032033233 is 332330230232.

It is a happy number.

It is not a de Polignac number, because 232032033233 - 28 = 232032032977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (232032033253) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 100402148 + ... + 100404458.

It is an arithmetic number, because the mean of its divisors is an integer number (2621808000).

Almost surely, 2232032033233 is an apocalyptic number.

232032033233 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

232032033233 is a deficient number, since it is larger than the sum of its proper divisors (103559390767).

232032033233 is a wasteful number, since it uses less digits than its factorization.

232032033233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2468 (or 2454 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 26.

Adding to 232032033233 its reverse (332330230232), we get a palindrome (564362263465).

The spelling of 232032033233 in words is "two hundred thirty-two billion, thirty-two million, thirty-three thousand, two hundred thirty-three".

Divisors: 1 7 11 13 23 49 77 89 91 143 161 253 299 343 539 623 637 979 1001 1127 1157 1771 2047 2093 2311 3289 3773 4361 4459 6853 7007 7889 8099 12397 12727 14329 14651 16177 22517 23023 25421 26611 30043 30527 47971 49049 53153 56693 86779 89089 100303 102557 113239 157619 161161 177947 186277 205679 210301 292721 330473 335797 372071 396851 584683 623623 690989 702121 792673 1103333 1128127 1245629 1303939 1439753 1472107 2049047 2262469 2313311 2604497 2673827 4092781 4365361 4730617 4836923 7600879 7723331 8719403 9127573 10078271 10304749 14343329 15837283 16193177 18231479 18716789 28649467 29412097 33114319 33858461 52036787 53206153 61498021 70547897 100403303 110860981 113352239 131017523 200546269 205884679 231800233 237009227 364257509 372443071 430486147 676478231 776026867 917122661 1441192753 1622601631 2549802563 2607101497 3013403029 4735347617 10088349271 17848617941 21093821203 33147433319 232032033233