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211212221202220 = 22573579674214519
BaseRepresentation
bin110000000001100010101101…
…011010101011111100101100
31000200211200122211220211010111
4300001202231122223330230
5210141000112111432340
62025113315505545404
762326402511123260
oct6001425532537454
91020750584824114
10211212221202220
1161331666639587
121b832415645264
1390b12c49355b4
143a22a243da0a0
1519641aba84aea
hexc018ad6abf2c

211212221202220 has 48 divisors (see below), whose sum is σ = 506910867240960. Its totient is φ = 72415399218624.

The previous prime is 211212221202211. The next prime is 211212221202223. The reversal of 211212221202220 is 22202122212112.

It is a super-2 number, since 2×2112122212022202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211212221202191 and 211212221202200.

It is not an unprimeable number, because it can be changed into a prime (211212221202223) by changing a digit.

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, 48008121 + ... + 52222639.

It is an arithmetic number, because the mean of its divisors is an integer number (10560643067520).

Almost surely, 2211212221202220 is an apocalyptic number.

211212221202220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211212221202220 is an abundant number, since it is smaller than the sum of its proper divisors (295698646038740).

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

211212221202220 is a wasteful number, since it uses less digits than its factorization.

211212221202220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4572502 (or 4572500 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 211212221202220 its reverse (22202122212112), we get a palindrome (233414343414332).

The spelling of 211212221202220 in words is "two hundred eleven trillion, two hundred twelve billion, two hundred twenty-one million, two hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 357967 715934 1431868 1789835 2505769 3579670 4214519 5011538 7159340 8429038 10023076 12528845 16858076 21072595 25057690 29501633 42145190 50115380 59003266 84290380 118006532 147508165 295016330 590032660 1508658722873 3017317445746 6034634891492 7543293614365 10560611060111 15086587228730 21121222120222 30173174457460 42242444240444 52803055300555 105606110601110 211212221202220