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212221330002 = 232118381115923
BaseRepresentation
bin1100010110100101100…
…0001000001001010010
3202021210001212120112100
43011221120020021102
511434112130030002
6241254303341230
721222020353503
oct3055130101122
9667701776470
10212221330002
1182003454330
12351685b1816
13170212988a6
14a3b3274baa
1557c136411c
hex3169608252

212221330002 has 96 divisors (see below), whose sum is σ = 508315481856. Its totient is φ = 63452354400.

The previous prime is 212221329973. The next prime is 212221330019. The reversal of 212221330002 is 200033122212.

212221330002 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13320013 + ... + 13335935.

It is an arithmetic number, because the mean of its divisors is an integer number (5294952936).

Almost surely, 2212221330002 is an apocalyptic number.

212221330002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 212221330002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254157740928).

212221330002 is an abundant number, since it is smaller than the sum of its proper divisors (296094151854).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212221330002 is a wasteful number, since it uses less digits than its factorization.

212221330002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16836 (or 16833 counting only the distinct ones).

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

Adding to 212221330002 its reverse (200033122212), we get a palindrome (412254452214).

The spelling of 212221330002 in words is "two hundred twelve billion, two hundred twenty-one million, three hundred thirty thousand, two".

Divisors: 1 2 3 6 9 11 18 22 33 66 83 99 166 198 249 498 747 811 913 1494 1622 1826 2433 2739 4866 5478 7299 8217 8921 14598 15923 16434 17842 26763 31846 47769 53526 67313 80289 95538 134626 143307 160578 175153 201939 286614 350306 403878 525459 605817 740443 1050918 1211634 1321609 1480886 1576377 2221329 2643218 3152754 3964827 4442658 6663987 7929654 11894481 12913553 13327974 14537699 23788962 25827106 29075398 38740659 43613097 77481318 87226194 116221977 130839291 142049083 232443954 261678582 284098166 426147249 852294498 1071824899 1278441747 2143649798 2556883494 3215474697 6430949394 9646424091 11790073889 19292848182 23580147778 35370221667 70740443334 106110665001 212221330002