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211210220102120 = 23531234749725587
BaseRepresentation
bin110000000001100000110110…
…001001000110000111101000
31000200211111111101111101211222
4300001200312021012013220
5210140432012321231440
62025112345143241212
762326302102060221
oct6001406611060750
91020744441441758
10211210220102120
116133082a010448
121b831b57449208
1390b10661945b5
143a228b4736248
1519640e10562b5
hexc018362461e8

211210220102120 has 64 divisors (see below), whose sum is σ = 490555535040000. Its totient is φ = 81758333917440.

The previous prime is 211210220102113. The next prime is 211210220102227. The reversal of 211210220102120 is 21201022012112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 290725967 + ... + 291451553.

It is an arithmetic number, because the mean of its divisors is an integer number (7664930235000).

Almost surely, 2211210220102120 is an apocalyptic number.

211210220102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211210220102120 is an abundant number, since it is smaller than the sum of its proper divisors (279345314937880).

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

211210220102120 is a wasteful number, since it uses less digits than its factorization.

211210220102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960378 (or 960374 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 211210220102120 its reverse (21201022012112), we get a palindrome (232411242114232).

The spelling of 211210220102120 in words is "two hundred eleven trillion, two hundred ten billion, two hundred twenty million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1240 234749 469498 725587 938996 1173745 1451174 1877992 2347490 2902348 3627935 4694980 5804696 7255870 7277219 9389960 14511740 14554438 22493197 29023480 29108876 36386095 44986394 58217752 72772190 89972788 112465985 145544380 179945576 224931970 291088760 449863940 899727880 170330822663 340661645326 681323290652 851654113315 1362646581304 1703308226630 3406616453260 5280255502553 6813232906520 10560511005106 21121022010212 26401277512765 42242044020424 52802555025530 105605110051060 211210220102120