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211121101021020 = 223513725683832241
BaseRepresentation
bin110000000000001101110110…
…001110110001111101011100
31000200111222110112020000021120
4300000031312032301331130
5210133002003330133040
62025003410032130540
762316665460301311
oct6000156616617534
91020458415200246
10211121101021020
11612a6a57679803
121b818825696a50
1390a5832a17908
143a1c45c828d08
151961b271d77d0
hexc003763b1f5c

211121101021020 has 48 divisors (see below), whose sum is σ = 595453966698528. Its totient is φ = 55888018954240.

The previous prime is 211121101021013. The next prime is 211121101021037. The reversal of 211121101021020 is 20120101121112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12841907901 + ... + 12841924340.

It is an arithmetic number, because the mean of its divisors is an integer number (12405290972886).

Almost surely, 2211121101021020 is an apocalyptic number.

211121101021020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211121101021020 is an abundant number, since it is smaller than the sum of its proper divisors (384332865677508).

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

211121101021020 is a wasteful number, since it uses less digits than its factorization.

211121101021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25683832390 (or 25683832388 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 211121101021020 its reverse (20120101121112), we get a palindrome (231241202142132).

The spelling of 211121101021020 in words is "two hundred eleven trillion, one hundred twenty-one billion, one hundred one million, twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 137 274 411 548 685 822 1370 1644 2055 2740 4110 8220 25683832241 51367664482 77051496723 102735328964 128419161205 154102993446 256838322410 308205986892 385257483615 513676644820 770514967230 1541029934460 3518685017017 7037370034034 10556055051051 14074740068068 17593425085085 21112110102102 35186850170170 42224220204204 52780275255255 70373700340340 105560550510510 211121101021020