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23201430021 = 33711234671039
BaseRepresentation
bin10101100110111010…
…011011101000000101
32012212221120202122000
4111212322123220011
5340004031230041
614354131055513
71450644621060
oct254672335005
965787522560
1023201430021
119926669860
1245b6141599
132259a27323
1411a15638d7
1590bd4cbb6
hex566e9ba05

23201430021 has 128 divisors (see below), whose sum is σ = 44856115200. Its totient is φ = 11492902080.

The previous prime is 23201430011. The next prime is 23201430023. The reversal of 23201430021 is 12003410232.

23201430021 is a `hidden beast` number, since 232 + 0 + 1 + 430 + 0 + 2 + 1 = 666.

It is not a de Polignac number, because 23201430021 - 29 = 23201429509 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 23201429976 and 23201430003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23201430023) 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, 22330020 + ... + 22331058.

It is an arithmetic number, because the mean of its divisors is an integer number (350438400).

Almost surely, 223201430021 is an apocalyptic number.

23201430021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

23201430021 is a deficient number, since it is larger than the sum of its proper divisors (21654685179).

23201430021 is a wasteful number, since it uses less digits than its factorization.

23201430021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1556 (or 1550 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 23201430021 its reverse (12003410232), we get a palindrome (35204840253).

It can be divided in two parts, 2320 and 1430021, that added together give a palindrome (1432341).

The spelling of 23201430021 in words is "twenty-three billion, two hundred one million, four hundred thirty thousand, twenty-one".

Divisors: 1 3 7 9 11 21 23 27 33 63 69 77 99 161 189 207 231 253 297 467 483 621 693 759 1039 1401 1449 1771 2079 2277 3117 3269 4203 4347 5137 5313 6831 7273 9351 9807 10741 11429 12609 15411 15939 21819 23897 28053 29421 32223 34287 35959 46233 47817 65457 71691 75187 80003 88263 96669 102861 107877 118151 138699 167279 196371 215073 225561 240009 262867 290007 308583 323631 354453 485213 501837 645219 676683 720027 788601 827057 970893 1063359 1455639 1505511 1840069 2030049 2160081 2365803 2481171 3190077 3396491 4366917 4516533 5337343 5520207 7097409 7443513 10189473 11159899 13100751 16012029 16560621 22330539 30568419 33479697 37361401 48036087 49681863 78119293 91705257 100439091 112084203 122758889 144108261 234357879 301317273 336252609 368276667 703073637 859312223 1008757827 1104830001 2109220911 2577936669 3314490003 7733810007 23201430021