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211300122321100 = 225231139490369279
BaseRepresentation
bin110000000010110100100100…
…101110110110000011001100
31000201011002112211101022122001
4300002310210232312003030
5210143420122303233400
62025221534112002044
762335634003243011
oct6002644456660314
91021132484338561
10211300122321100
116136597351617a
121b847467530324
1390b969296c087
143a26da265d708
151966603a1aa6a
hexc02d24bb60cc

211300122321100 has 72 divisors (see below), whose sum is σ = 476717399244800. Its totient is φ = 81205152436800.

The previous prime is 211300122321091. The next prime is 211300122321221. The reversal of 211300122321100 is 1123221003112.

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, 244753740 + ... + 245615539.

Almost surely, 2211300122321100 is an apocalyptic number.

211300122321100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211300122321100 is an abundant number, since it is smaller than the sum of its proper divisors (265417276923700).

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

211300122321100 is a wasteful number, since it uses less digits than its factorization.

211300122321100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490369463 (or 490369456 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 211300122321100 its reverse (1123221003112), we get a palindrome (212423343324212).

The spelling of 211300122321100 in words is "two hundred eleven trillion, three hundred billion, one hundred twenty-two million, three hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 139 155 278 310 556 620 695 775 1390 1550 2780 3100 3475 4309 6950 8618 13900 17236 21545 43090 86180 107725 215450 430900 490369279 980738558 1961477116 2451846395 4903692790 9807385580 12259231975 15201447649 24518463950 30402895298 49036927900 60805790596 68161329781 76007238245 136322659562 152014476490 272645319124 304028952980 340806648905 380036191225 681613297810 760072382450 1363226595620 1520144764900 1704033244525 2113001223211 3408066489050 4226002446422 6816132978100 8452004892844 10565006116055 21130012232110 42260024464220 52825030580275 105650061160550 211300122321100