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212201002020 = 2235710116093109
BaseRepresentation
bin1100010110100000101…
…0100101010000100100
3202021201122121210210010
43011220022211100210
511434041424031040
6241252255530220
721221352520320
oct3055012452044
9667648553703
10212201002020
1181aa2a2a647
1235161829970
1317019ccc0b7
14a3b06a2980
1557be69ae80
hex31682a5424

212201002020 has 192 divisors, whose sum is σ = 686413324800. Its totient is φ = 47977574400.

The previous prime is 212201001959. The next prime is 212201002021. The reversal of 212201002020 is 20200102212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 212201001987 and 212201002005.

It is not an unprimeable number, because it can be changed into a prime (212201002021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68252226 + ... + 68255334.

It is an arithmetic number, because the mean of its divisors is an integer number (3575069400).

Almost surely, 2212201002020 is an apocalyptic number.

212201002020 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 212201002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343206662400).

212201002020 is an abundant number, since it is smaller than the sum of its proper divisors (474212322780).

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

212201002020 is a wasteful number, since it uses less digits than its factorization.

212201002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4838 (or 4836 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 212201002020 its reverse (20200102212), we get a palindrome (232401104232).

The spelling of 212201002020 in words is "two hundred twelve billion, two hundred one million, two thousand, twenty".