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211300322123220 = 223511991813227957
BaseRepresentation
bin110000000010110100110000…
…101001000001110111010100
31000201011010001202100022121120
4300002310300221001313110
5210143421024430420340
62025222010010243540
762335641650444331
oct6002646051016724
91021133052308546
10211300322123220
1161365a662834a0
121b8475024265b0
1390b96c5187295
143a26dc0dcd988
1519666163364d0
hexc02d30a41dd4

211300322123220 has 96 divisors (see below), whose sum is σ = 645433145997696. Its totient is φ = 51223788172800.

The previous prime is 211300322123203. The next prime is 211300322123299. The reversal of 211300322123220 is 22321223003112.

It is a super-2 number, since 2×2113003221232202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63845482 + ... + 67073438.

It is an arithmetic number, because the mean of its divisors is an integer number (6723261937476).

Almost surely, 2211300322123220 is an apocalyptic number.

211300322123220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211300322123220 is an abundant number, since it is smaller than the sum of its proper divisors (434132823874476).

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

211300322123220 is a wasteful number, since it uses less digits than its factorization.

211300322123220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3327161 (or 3327159 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 211300322123220 its reverse (22321223003112), we get a palindrome (233621545126332).

The spelling of 211300322123220 in words is "two hundred eleven trillion, three hundred billion, three hundred twenty-two million, one hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 99181 198362 297543 396724 495905 595086 991810 1090991 1190172 1487715 1983620 2181982 2975430 3227957 3272973 4363964 5454955 5950860 6455914 6545946 9683871 10909910 12911828 13091892 16139785 16364865 19367742 21819820 32279570 32729730 35507527 38735484 48419355 64559140 65459460 71015054 96838710 106522581 142030108 177537635 193677420 213045162 355075270 426090324 532612905 710150540 1065225810 2130451620 320152003217 640304006434 960456009651 1280608012868 1600760016085 1920912019302 3201520032170 3521672035387 3841824038604 4802280048255 6403040064340 7043344070774 9604560096510 10565016106161 14086688141548 17608360176935 19209120193020 21130032212322 35216720353870 42260064424644 52825080530805 70433440707740 105650161061610 211300322123220