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212021220011020 = 225767223766913217
BaseRepresentation
bin110000001101010100001001…
…100000001110110000001100
31000210201000211100220102002221
4300031110021200032300030
5210242223424310323040
62030533112010025124
762442012324415420
oct6015241140166014
91023630740812087
10212021220011020
1161613770350542
121b9431717181a4
13913c691035cb4
143a4dc4b946b80
15197a259dba74a
hexc0d50980ec0c

212021220011020 has 192 divisors, whose sum is σ = 518868516741120. Its totient is φ = 71272219189248.

The previous prime is 212021220010903. The next prime is 212021220011021. The reversal of 212021220011020 is 20110022120212.

It is a happy number.

It is a super-2 number, since 2×2120212200110202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212021220010985 and 212021220011003.

It is not an unprimeable number, because it can be changed into a prime (212021220011021) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 16041547452 + ... + 16041560668.

It is an arithmetic number, because the mean of its divisors is an integer number (2702440191360).

Almost surely, 2212021220011020 is an apocalyptic number.

212021220011020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212021220011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259434258370560).

212021220011020 is an abundant number, since it is smaller than the sum of its proper divisors (306847296730100).

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

212021220011020 is a wasteful number, since it uses less digits than its factorization.

212021220011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21192 (or 21190 counting only the distinct ones).

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

Adding to 212021220011020 its reverse (20110022120212), we get a palindrome (232131242131232).

The spelling of 212021220011020 in words is "two hundred twelve trillion, twenty-one billion, two hundred twenty million, eleven thousand, twenty".