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21102200222012 = 22721319439799133
BaseRepresentation
bin1001100110001001111010…
…01001011111000100111100
32202201100110121122010120122
410303010331021133010330
510231214301224101022
6112514114510034112
74305404123231600
oct463047511370474
982640417563518
1021102200222012
1167a643598a428
1224498b81a8938
13ba0c0cb6a710
1452d4cda1d500
15268db3a99742
hex13313d25f13c

21102200222012 has 144 divisors (see below), whose sum is σ = 48708951611040. Its totient is φ = 7906869831168.

The previous prime is 21102200221969. The next prime is 21102200222017. The reversal of 21102200222012 is 21022200220112.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21102200222017) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 212817998 + ... + 212917130.

It is an arithmetic number, because the mean of its divisors is an integer number (338256608410).

Almost surely, 221102200222012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21102200222012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24354475805520).

21102200222012 is an abundant number, since it is smaller than the sum of its proper divisors (27606751389028).

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

21102200222012 is a wasteful number, since it uses less digits than its factorization.

21102200222012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103580 (or 103571 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 21102200222012 its reverse (21022200220112), we get a palindrome (42124400442124).

The spelling of 21102200222012 in words is "twenty-one trillion, one hundred two billion, two hundred million, two hundred twenty-two thousand, twelve".

Divisors: 1 2 4 7 13 14 19 26 28 38 49 52 76 91 98 133 182 196 247 266 364 494 532 637 931 988 1274 1729 1862 2548 3458 3724 4397 6916 8794 12103 17588 24206 30779 48412 57161 61558 83543 99133 114322 123116 167086 198266 215453 228644 334172 396532 400127 430906 584801 693931 800254 861812 1086059 1169602 1288729 1387862 1600508 1883527 2172118 2339204 2577458 2775724 2800889 3767054 4093607 4344236 4857517 5154916 5601778 7534108 7602413 8187214 9021103 9715034 11203556 13184689 15204826 16374428 18042206 19430068 24485851 26369378 30409652 36084412 48971702 52738756 53216891 63147721 92292823 97943404 106433782 126295442 171400957 184585646 212867564 252590884 342801914 369171292 435887801 685603828 871775602 1199806699 1743551204 2399613398 3051214607 4799226796 5666541413 6102429214 8281868219 11333082826 12204858428 16563736438 21358502249 22666165652 33127472876 39665789891 42717004498 57973077533 79331579782 85434008996 107664286847 115946155066 158663159564 215328573694 231892310132 277660529237 405811542731 430657147388 555321058474 753650007929 811623085462 1110642116948 1507300015858 1623246170924 3014600031716 5275550055503 10551100111006 21102200222012