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211120201112020 = 225110926417360317
BaseRepresentation
bin110000000000001101000000…
…100101111001100111010100
31000200111220010210212220012121
4300000031000211321213110
5210132443132441041040
62025003140444025324
762316634252222024
oct6000150045714724
91020456123786177
10211120201112020
11612a66356a9862
121b818614232244
1390a571b453795
143a1c3b50d3a84
151961ac31c7c4a
hexc003409799d4

211120201112020 has 48 divisors (see below), whose sum is σ = 443770228676880. Its totient is φ = 84368504489984.

The previous prime is 211120201112017. The next prime is 211120201112033. The reversal of 211120201112020 is 20211102021112.

It can be written as a sum of positive squares in 8 ways, for example, as 108252288478096 + 102867912633924 = 10404436^2 + 10142382^2 .

It is a junction number, because it is equal to n+sod(n) for n = 211120201111985 and 211120201112003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 585748902 + ... + 586109218.

It is an arithmetic number, because the mean of its divisors is an integer number (9245213097435).

Almost surely, 2211120201112020 is an apocalyptic number.

211120201112020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211120201112020 is an abundant number, since it is smaller than the sum of its proper divisors (232650027564860).

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

211120201112020 is a wasteful number, since it uses less digits than its factorization.

211120201112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387852 (or 387850 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 211120201112020 its reverse (20211102021112), we get a palindrome (231331303133132).

The spelling of 211120201112020 in words is "two hundred eleven trillion, one hundred twenty billion, two hundred one million, one hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 1109 2218 4436 5545 11090 22180 26417 52834 105668 132085 264170 360317 528340 720634 1441268 1801585 3603170 7206340 29296453 58592906 117185812 146482265 292964530 399591553 585929060 799183106 1598366212 1997957765 3995915530 7991831060 9518494189 19036988378 38073976756 47592470945 95184941890 190369883780 10556010055601 21112020111202 42224040222404 52780050278005 105560100556010 211120201112020