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212102002211200 = 2752127521904533
BaseRepresentation
bin110000001110011111011000…
…011111110111100110000000
31000210222202100012212101000221
4300032133120133313212000
5210300034400031224300
62031034151544552424
762450602224660133
oct6016373037674600
91023882305771027
10212102002211200
1161644a54840152
121b956957482714
13914719622ab4a
143a53b1253621a
15197c3d6d9731a
hexc0e7d87f7980

212102002211200 has 96 divisors (see below), whose sum is σ = 528083883682560. Its totient is φ = 84172762920960.

The previous prime is 212102002211123. The next prime is 212102002211201. The reversal of 212102002211200 is 2112200201212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212102002211201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 260545867 + ... + 261358666.

It is an arithmetic number, because the mean of its divisors is an integer number (5500873788360).

Almost surely, 2212102002211200 is an apocalyptic number.

212102002211200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212102002211200 is an abundant number, since it is smaller than the sum of its proper divisors (315981881471360).

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

212102002211200 is a wasteful number, since it uses less digits than its factorization.

212102002211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521904684 (or 521904667 counting only the distinct ones).

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

Adding to 212102002211200 its reverse (2112200201212), we get a palindrome (214214202412412).

The spelling of 212102002211200 in words is "two hundred twelve trillion, one hundred two billion, two million, two hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 127 128 160 200 254 320 400 508 635 640 800 1016 1270 1600 2032 2540 3175 3200 4064 5080 6350 8128 10160 12700 16256 20320 25400 40640 50800 81280 101600 203200 406400 521904533 1043809066 2087618132 2609522665 4175236264 5219045330 8350472528 10438090660 13047613325 16700945056 20876181320 26095226650 33401890112 41752362640 52190453300 66281875691 66803780224 83504725280 104380906600 132563751382 167009450560 208761813200 265127502764 331409378455 334018901120 417523626400 530255005528 662818756910 835047252800 1060510011056 1325637513820 1657046892275 1670094505600 2121020022112 2651275027640 3314093784550 4242040044224 5302550055280 6628187569100 8484080088448 10605100110560 13256375138200 21210200221120 26512750276400 42420400442240 53025500552800 106051001105600 212102002211200