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213331221002200 = 23527253410726263
BaseRepresentation
bin110000100000011000001011…
…101001011011011111011000
31000222100021011120212212002211
4300200120023221123133120
5210430204320034032300
62033415002053404504
762635446346210600
oct6040301351333730
91028307146785084
10213331221002200
1161a792987a43a4
121bb1502a339734
1392060810a6aa2
143a97401431c00
15199e37bce74ba
hexc2060ba5b7d8

213331221002200 has 144 divisors (see below), whose sum is σ = 587860179875280. Its totient is φ = 71762092496640.

The previous prime is 213331221002131. The next prime is 213331221002243. The reversal of 213331221002200 is 2200122133312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 204843732 + ... + 205882531.

It is an arithmetic number, because the mean of its divisors is an integer number (4082362360245).

Almost surely, 2213331221002200 is an apocalyptic number.

213331221002200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213331221002200 is an abundant number, since it is smaller than the sum of its proper divisors (374528958873080).

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

213331221002200 is a wasteful number, since it uses less digits than its factorization.

213331221002200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410726346 (or 410726330 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 213331221002200 its reverse (2200122133312), we get a palindrome (215531343135512).

The spelling of 213331221002200 in words is "two hundred thirteen trillion, three hundred thirty-one billion, two hundred twenty-one million, two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 53 56 70 98 100 106 140 175 196 200 212 245 265 280 350 371 392 424 490 530 700 742 980 1060 1225 1325 1400 1484 1855 1960 2120 2450 2597 2650 2968 3710 4900 5194 5300 7420 9275 9800 10388 10600 12985 14840 18550 20776 25970 37100 51940 64925 74200 103880 129850 259700 519400 410726263 821452526 1642905052 2053631315 2875083841 3285810104 4107262630 5750167682 8214525260 10268156575 11500335364 14375419205 16429050520 20125586887 20536313150 21768491939 23000670728 28750838410 40251173774 41072626300 43536983878 57501676820 71877096025 80502347548 82145252600 87073967756 100627934435 108842459695 115003353640 143754192050 152379443573 161004695096 174147935512 201255868870 217684919390 287508384100 304758887146 402511737740 435369838780 503139672175 544212298475 575016768200 609517774292 761897217865 805023475480 870739677560 1006279344350 1066656105011 1088424596950 1219035548584 1523794435730 2012558688700 2133312210022 2176849193900 3047588871460 3809486089325 4025117377400 4266624420044 4353698387800 5333280525055 6095177742920 7618972178650 8533248840088 10666561050110 15237944357300 21333122100220 26666402625275 30475888714600 42666244200440 53332805250550 106665610501100 213331221002200