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12211100203230 = 233589727698983
BaseRepresentation
bin1011000110110001111001…
…0010100011100011011110
31121020100222120100112112000
42301230132102203203132
53100031313123000410
641545411344023130
72400136306102035
oct261543622434336
947210876315460
1012211100203230
1139887757a3a85
121452714901aa6
136a766a61b546
1430303ddb571c
1516298ab28dc0
hexb1b1e4a38de

12211100203230 has 128 divisors (see below), whose sum is σ = 32974150809600. Its totient is φ = 3215272465152.

The previous prime is 12211100203219. The next prime is 12211100203249. The reversal of 12211100203230 is 3230200111221.

12211100203230 is a `hidden beast` number, since 1 + 221 + 1 + 10 + 0 + 203 + 230 = 666.

It is a super-2 number, since 2×122111002032302 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17120319 + ... + 17819301.

It is an arithmetic number, because the mean of its divisors is an integer number (257610553200).

Almost surely, 212211100203230 is an apocalyptic number.

12211100203230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12211100203230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16487075404800).

12211100203230 is an abundant number, since it is smaller than the sum of its proper divisors (20763050606370).

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

12211100203230 is a wasteful number, since it uses less digits than its factorization.

12211100203230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699815 (or 699809 counting only the distinct ones).

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

Adding to 12211100203230 its reverse (3230200111221), we get a palindrome (15441300314451).

The spelling of 12211100203230 in words is "twelve trillion, two hundred eleven billion, one hundred million, two hundred three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 89 90 135 178 267 270 445 534 727 801 890 1335 1454 1602 2181 2403 2670 3635 4005 4362 4806 6543 7270 8010 10905 12015 13086 19629 21810 24030 32715 39258 64703 65430 98145 129406 194109 196290 323515 388218 582327 647030 698983 970545 1164654 1397966 1746981 1941090 2096949 2911635 3493962 3494915 4193898 5823270 6290847 6989830 8734905 10484745 12581694 17469810 18872541 20969490 31454235 37745082 62209487 62908470 94362705 124418974 186628461 188725410 311047435 373256922 508160641 559885383 622094870 933142305 1016321282 1119770766 1524481923 1679656149 1866284610 2540803205 2799426915 3048963846 3359312298 4573445769 5081606410 5598853830 7622409615 8398280745 9146891538 13720337307 15244819230 16796561490 22867228845 27440674614 45226297049 45734457690 68601686535 90452594098 135678891147 137203373070 226131485245 271357782294 407036673441 452262970490 678394455735 814073346882 1221110020323 1356788911470 2035183367205 2442220040646 4070366734410 6105550101615 12211100203230