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2122212102100 = 225274341576871
BaseRepresentation
bin11110111000011101101…
…100101100111111010100
321111212210121110220001221
4132320131230230333110
5234232242244231400
64302533014300124
7306216252142516
oct36703554547724
97455717426057
102122212102100
11749030450a62
122a3370657644
1312517bb2969c
1474a03903bb6
153a30c290c1a
hex1ee1db2cfd4

2122212102100 has 72 divisors (see below), whose sum is σ = 4613178987648. Its totient is φ = 847415049600.

The previous prime is 2122212102097. The next prime is 2122212102209. The reversal of 2122212102100 is 12012122212.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 308861665 + ... + 308868535.

It is an arithmetic number, because the mean of its divisors is an integer number (64071930384).

Almost surely, 22122212102100 is an apocalyptic number.

2122212102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122212102100 is an abundant number, since it is smaller than the sum of its proper divisors (2490966885548).

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

2122212102100 is a wasteful number, since it uses less digits than its factorization.

2122212102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11785 (or 11778 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2122212102100 its reverse (12012122212), we get a palindrome (2134224224312).

The spelling of 2122212102100 in words is "two trillion, one hundred twenty-two billion, two hundred twelve million, one hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 743 1486 2972 3715 4157 6871 7430 8314 13742 14860 16628 18575 20785 27484 34355 37150 41570 68710 74300 83140 103925 137420 171775 207850 343550 415700 687100 3088651 5105153 6177302 10210306 12354604 15443255 20420612 25525765 28562747 30886510 51051530 57125494 61773020 77216275 102103060 114250988 127628825 142813735 154432550 255257650 285627470 308865100 510515300 571254940 714068675 1428137350 2856274700 21222121021 42444242042 84888484084 106110605105 212221210210 424442420420 530553025525 1061106051050 2122212102100