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211202102120020 = 225111950526818689
BaseRepresentation
bin110000000001011001010010…
…010001011100111001010100
31000200210201112122002011221021
4300001121102101130321110
5210140313401120320040
62025104523430530524
762325563656262014
oct6001312221347124
91020721478064837
10211202102120020
116132834368a330
121b830470806a44
1390b0371382bab
143a22344519c44
151963cb850324a
hexc0165245ce54

211202102120020 has 48 divisors (see below), whose sum is σ = 509310332395200. Its totient is φ = 72758618910720.

The previous prime is 211202102119997. The next prime is 211202102120041. The reversal of 211202102120020 is 20021201202112.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 211202102119976 and 211202102120003.

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 15 ways as a sum of consecutive naturals, for example, 25263405165 + ... + 25263413524.

It is an arithmetic number, because the mean of its divisors is an integer number (10610631924900).

Almost surely, 2211202102120020 is an apocalyptic number.

211202102120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211202102120020 is an abundant number, since it is smaller than the sum of its proper divisors (298108230275180).

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

211202102120020 is a wasteful number, since it uses less digits than its factorization.

211202102120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50526818728 (or 50526818726 counting only the distinct ones).

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

Adding to 211202102120020 its reverse (20021201202112), we get a palindrome (231223303322132).

The spelling of 211202102120020 in words is "two hundred eleven trillion, two hundred two billion, one hundred two million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 380 418 836 1045 2090 4180 50526818689 101053637378 202107274756 252634093445 505268186890 555795005579 960009555091 1010536373780 1111590011158 1920019110182 2223180022316 2778975027895 3840038220364 4800047775455 5557950055790 9600095550910 10560105106001 11115900111580 19200191101820 21120210212002 42240420424004 52800525530005 105601051060010 211202102120020