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221100113223 = 321122310385703
BaseRepresentation
bin1100110111101010010…
…1111111110101000111
3210010200211212111101100
43031322211333311013
512110303112110343
6245323314431143
721655031645043
oct3157245776507
9703624774340
10221100113223
118584a282600
1236a25b924b3
1317b078b7182
14a9b6535023
155b40a999d3
hex337a97fd47

221100113223 has 72 divisors (see below), whose sum is σ = 369862811136. Its totient is φ = 126928090080.

The previous prime is 221100113189. The next prime is 221100113233. The reversal of 221100113223 is 322311001122.

It is not a de Polignac number, because 221100113223 - 210 = 221100112199 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221100113196 and 221100113205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221100113233) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2536990 + ... + 2622692.

It is an arithmetic number, because the mean of its divisors is an integer number (5136983488).

Almost surely, 2221100113223 is an apocalyptic number.

221100113223 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

221100113223 is a deficient number, since it is larger than the sum of its proper divisors (148762697913).

221100113223 is a wasteful number, since it uses less digits than its factorization.

221100113223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85857 (or 85843 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 221100113223 its reverse (322311001122), we get a palindrome (543411114345).

The spelling of 221100113223 in words is "two hundred twenty-one billion, one hundred million, one hundred thirteen thousand, two hundred twenty-three".

Divisors: 1 3 9 11 23 33 69 99 103 121 207 253 309 363 759 927 1089 1133 2277 2369 2783 3399 7107 8349 10197 12463 21321 25047 26059 37389 78177 85703 112167 234531 257109 286649 771327 859947 942733 1971169 2579841 2828199 5913507 8484597 8827409 10370063 17740521 21682859 26482227 31110189 65048577 79446681 93330567 97101499 195145731 203030407 238511449 291304497 609091221 715534347 873913491 1068116489 1827273663 2146603041 2233334477 3204349467 6700003431 9613048401 20100010293 24566679247 73700037741 221100113223