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2121100200212 = 227233765349177
BaseRepresentation
bin11110110111011011011…
…011001000100100010100
321111202221010020102102112
4132313123123020210110
5234223003122401322
64302230414330152
7306146561136200
oct36673333104424
97452833212375
102121100200212
1174860a847684
122a31001b9958
1312503266c586
1474939d87b00
153a2948585e2
hex1eddb6c8914

2121100200212 has 72 divisors (see below), whose sum is σ = 4337487207144. Its totient is φ = 904939112448.

The previous prime is 2121100200139. The next prime is 2121100200229. The reversal of 2121100200212 is 2120020011212.

It can be written as a sum of positive squares in 4 ways, for example, as 1408801156 + 2119691399056 = 37534^2 + 1455916^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 43107368 + ... + 43156544.

It is an arithmetic number, because the mean of its divisors is an integer number (60242877877).

Almost surely, 22121100200212 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 2121100200212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2168743603572).

2121100200212 is an abundant number, since it is smaller than the sum of its proper divisors (2216387006932).

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

2121100200212 is a wasteful number, since it uses less digits than its factorization.

2121100200212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50185 (or 50176 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2121100200212 its reverse (2120020011212), we get a palindrome (4241120211424).

The spelling of 2121100200212 in words is "two trillion, one hundred twenty-one billion, one hundred million, two hundred thousand, two hundred twelve".

Divisors: 1 2 4 7 14 28 49 98 196 337 653 674 1306 1348 2359 2612 4571 4718 9142 9436 16513 18284 31997 33026 49177 63994 66052 98354 127988 196708 220061 344239 440122 688478 880244 1376956 1540427 2409673 3080854 4819346 6161708 9638692 10782989 16572649 21565978 32112581 33145298 43131956 64225162 66290596 116008543 128450324 224788067 232017086 449576134 464034172 812059801 899152268 1573516469 1624119602 3147032938 3248239204 6294065876 10821939797 21643879594 43287759188 75753578579 151507157158 303014314316 530275050053 1060550100106 2121100200212