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212102021200 = 24522918284657
BaseRepresentation
bin1100010110001001000…
…1000000000001010000
3202021110202101001121211
43011202101000001100
511433341104134300
6241234402225504
721216041301436
oct3054221000120
9667422331554
10212102021200
1181a52074913
1235134655294
1317002654474
14a3a1498d56
1557b5b484ba
hex3162440050

212102021200 has 60 divisors (see below), whose sum is σ = 527146690140. Its totient is φ = 81915258880.

The previous prime is 212102021137. The next prime is 212102021213. The reversal of 212102021200 is 2120201212.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 40749074496 + 171352946704 = 201864^2 + 413948^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9130729 + ... + 9153928.

It is an arithmetic number, because the mean of its divisors is an integer number (8785778169).

Almost surely, 2212102021200 is an apocalyptic number.

212102021200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212102021200 is an abundant number, since it is smaller than the sum of its proper divisors (315044668940).

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

212102021200 is a wasteful number, since it uses less digits than its factorization.

212102021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18284704 (or 18284693 counting only the distinct ones).

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

Adding to 212102021200 its reverse (2120201212), we get a palindrome (214222222412).

The spelling of 212102021200 in words is "two hundred twelve billion, one hundred two million, twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 145 200 232 290 400 464 580 725 1160 1450 2320 2900 5800 11600 18284657 36569314 73138628 91423285 146277256 182846570 292554512 365693140 457116425 530255053 731386280 914232850 1060510106 1462772560 1828465700 2121020212 2651275265 3656931400 4242040424 5302550530 7313862800 8484080848 10605101060 13256376325 21210202120 26512752650 42420404240 53025505300 106051010600 212102021200