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220110200202100 = 2252133311580332369
BaseRepresentation
bin110010000011000001100110…
…010010110110001101110100
31001212100022220022012212020211
4302003001212102312031310
5212322241142222431400
62100045121404235204
764235302644525445
oct6203014622661564
91055308808185224
10220110200202100
116415223683127a
122082a9b883bb04
1395a83c2397aa0
143c4d56789b2cc
151a6a8888b6dba
hexc830664b6374

220110200202100 has 144 divisors (see below), whose sum is σ = 515983214335680. Its totient is φ = 81018295142400.

The previous prime is 220110200202091. The next prime is 220110200202133. The reversal of 220110200202100 is 1202002011022.

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 47 ways as a sum of consecutive naturals, for example, 6800014716 + ... + 6800047084.

It is an arithmetic number, because the mean of its divisors is an integer number (3583216766220).

Almost surely, 2220110200202100 is an apocalyptic number.

220110200202100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220110200202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257991607167840).

220110200202100 is an abundant number, since it is smaller than the sum of its proper divisors (295873014133580).

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

220110200202100 is a wasteful number, since it uses less digits than its factorization.

220110200202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48530 (or 48523 counting only the distinct ones).

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

Adding to 220110200202100 its reverse (1202002011022), we get a palindrome (221312202213122).

The spelling of 220110200202100 in words is "two hundred twenty trillion, one hundred ten billion, two hundred million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 331 650 662 1300 1324 1655 3310 4303 6620 8275 8606 15803 16550 17212 21515 31606 32369 33100 43030 63212 64738 79015 86060 107575 129476 158030 161845 205439 215150 316060 323690 395075 410878 420797 430300 647380 790150 809225 821756 841594 1027195 1580300 1618450 1683188 2054390 2103985 3236900 4108780 4207970 5135975 5230793 8415940 10271950 10461586 10519925 10714139 20543900 20923172 21039850 21428278 26153965 42079700 42856556 52307930 53570695 68000309 104615860 107141390 130769825 136000618 139283807 214282780 261539650 267853475 272001236 278567614 340001545 511527307 523079300 535706950 557135228 680003090 696419035 1023054614 1071413900 1360006180 1392838070 1700007725 2046109228 2557636535 2785676140 3400015450 3482095175 5115273070 6649854991 6800030900 6964190350 10230546140 12788182675 13299709982 13928380700 25576365350 26599419964 33249274955 51152730700 66498549910 132997099820 166246374775 169315538617 332492749550 338631077234 664985499100 677262154468 846577693085 1693155386170 2201102002021 3386310772340 4232888465425 4402204004042 8465776930850 8804408008084 11005510010105 16931553861700 22011020020210 44022040040420 55027550050525 110055100101050 220110200202100