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213224104401 = 371121135631319
BaseRepresentation
bin1100011010010100100…
…1011010000111010001
3202101100221202210101220
43012211021122013101
511443140332320101
6241542004315253
721255614661150
oct3064511320721
9671327683356
10213224104401
11824784a2600
12353a83a2b29
1317150c67819
14a46a505597
15582e3e2636
hex31a525a1d1

213224104401 has 96 divisors (see below), whose sum is σ = 361209784320. Its totient is φ = 109507453440.

The previous prime is 213224104391. The next prime is 213224104417. The reversal of 213224104401 is 104401422312.

It is not a de Polignac number, because 213224104401 - 29 = 213224103889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213224104441) 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 95 ways as a sum of consecutive naturals, for example, 161655220 + ... + 161656538.

It is an arithmetic number, because the mean of its divisors is an integer number (3762601920).

Almost surely, 2213224104401 is an apocalyptic number.

213224104401 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

213224104401 is a deficient number, since it is larger than the sum of its proper divisors (147985679919).

213224104401 is a wasteful number, since it uses less digits than its factorization.

213224104401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2027 (or 2016 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 213224104401 its reverse (104401422312), we get a palindrome (317625526713).

The spelling of 213224104401 in words is "two hundred thirteen billion, two hundred twenty-four million, one hundred four thousand, four hundred one".

Divisors: 1 3 7 11 21 33 77 113 121 231 339 363 563 791 847 1243 1319 1689 2373 2541 3729 3941 3957 6193 8701 9233 11823 13673 14509 18579 26103 27699 41019 43351 43527 63619 68123 95711 101563 130053 149047 159599 190857 204369 287133 304689 445333 447141 476861 478797 699809 742597 1043329 1117193 1335999 1430583 1639517 2099427 2227791 3129987 3351579 4898663 4918551 5198179 7697899 8168567 11476619 14695989 15594537 18034687 23093697 24505701 34429857 53885293 54104061 57179969 83913461 89854237 126242809 161655879 171539907 251740383 269562711 378728427 587394227 628979659 923048071 1762182681 1886938977 2769144213 6461336497 10153528781 19384009491 30460586343 71074701467 213224104401