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21210100202200 = 23527213166484303
BaseRepresentation
bin1001101001010010111000…
…11111001111101011011000
32210002122222100111001100011
410310221130133033223120
510240001241122432300
6113035441401051304
74316244025023400
oct464513437175330
983078870431304
1021210100202200
116838175688578
1224667ab786b34
13bab147270740
14534807d4d800
1526bacb623eba
hex134a5c7cfad8

21210100202200 has 144 divisors (see below), whose sum is σ = 61777330685280. Its totient is φ = 6712647056640.

The previous prime is 21210100202153. The next prime is 21210100202293. The reversal of 21210100202200 is 220200101212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

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, 83114752 + ... + 83369551.

It is an arithmetic number, because the mean of its divisors is an integer number (429009240870).

Almost surely, 221210100202200 is an apocalyptic number.

21210100202200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21210100202200 is an abundant number, since it is smaller than the sum of its proper divisors (40567230483080).

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

21210100202200 is a wasteful number, since it uses less digits than its factorization.

21210100202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166484346 (or 166484330 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 21210100202200 its reverse (220200101212), we get a palindrome (21430300303412).

The spelling of 21210100202200 in words is "twenty-one trillion, two hundred ten billion, one hundred million, two hundred two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 49 50 52 56 65 70 91 98 100 104 130 140 175 182 196 200 245 260 280 325 350 364 392 455 490 520 637 650 700 728 910 980 1225 1274 1300 1400 1820 1960 2275 2450 2548 2600 3185 3640 4550 4900 5096 6370 9100 9800 12740 15925 18200 25480 31850 63700 127400 166484303 332968606 665937212 832421515 1165390121 1331874424 1664843030 2164295939 2330780242 3329686060 4162107575 4328591878 4661560484 5826950605 6659372120 8157730847 8324215150 8657183756 9323120968 10821479695 11653901210 15150071573 16315461694 16648430300 17314367512 21642959390 23307802420 29134753025 30300143146 32630923388 33296860600 40788654235 43285918780 46615604840 54107398475 58269506050 60600286292 65261846776 75750357865 81577308470 86571837560 106050501011 108214796950 116539012100 121200572584 151500715730 163154616940 203943271175 212101002022 216429593900 233078024200 303001431460 326309233880 378751789325 407886542350 424202004044 432859187800 530252505055 606002862920 757503578650 815773084700 848404008088 1060505010110 1515007157300 1631546169400 2121010020220 2651262525275 3030014314600 4242020040440 5302525050550 10605050101100 21210100202200