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10013224221 = 32711134127109
BaseRepresentation
bin10010101001101010…
…11010110100011101
3221211211122111100100
421110311122310131
5131001341133341
64333334051313
7503065000350
oct112465326435
927754574310
1010013224221
114279227620
121b354a9b39
13c3766a760
146adc06297
153d91213b6
hex254d5ad1d

10013224221 has 96 divisors (see below), whose sum is σ = 19893968640. Its totient is φ = 4684262400.

The previous prime is 10013224211. The next prime is 10013224241. The reversal of 10013224221 is 12242231001.

It is a happy number.

It is not a de Polignac number, because 10013224221 - 213 = 10013216029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10013224194 and 10013224203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10013224201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 355815 + ... + 382923.

It is an arithmetic number, because the mean of its divisors is an integer number (207228840).

Almost surely, 210013224221 is an apocalyptic number.

10013224221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10013224221 is a deficient number, since it is larger than the sum of its proper divisors (9880744419).

10013224221 is a wasteful number, since it uses less digits than its factorization.

10013224221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27187 (or 27184 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10013224221 its reverse (12242231001), we get a palindrome (22255455222).

The spelling of 10013224221 in words is "ten billion, thirteen million, two hundred twenty-four thousand, two hundred twenty-one".

Divisors: 1 3 7 9 11 13 21 33 39 41 63 77 91 99 117 123 143 231 273 287 369 429 451 533 693 819 861 1001 1287 1353 1599 2583 3003 3157 3731 4059 4797 5863 9009 9471 11193 17589 27109 28413 33579 41041 52767 81327 123123 189763 243981 298199 352417 369369 569289 894597 1057251 1111469 1707867 2087393 2466919 2683791 3171753 3334407 3876587 6262179 7400757 7780283 10003221 11629761 12226159 14449097 18786537 22202271 23340849 27136109 34889283 36678477 43347291 70022547 81408327 85583113 101143679 110035431 130041873 158940067 244224981 256749339 303431037 476820201 770248017 910293111 1112580469 1430460603 3337741407 10013224221