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20211011011212 = 223711317350324469
BaseRepresentation
bin1001001100001101111100…
…01000011100001010001100
32122120011011002220111221020
410212012332020130022030
510122114122304324322
6110552451004234140
74154124460022250
oct446067610341214
978504132814836
1020211011011212
1164924948a79aa
12232504283b950
13b37b758b4458
144dc30a878260
15250b04d2205c
hex1261be21c28c

20211011011212 has 192 divisors, whose sum is σ = 54798241720320. Its totient is φ = 5678843498496.

The previous prime is 20211011011211. The next prime is 20211011011267. The reversal of 20211011011212 is 21211011011202.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20211011011191 and 20211011011200.

It is not an unprimeable number, because it can be changed into a prime (20211011011211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 825972114 + ... + 825996582.

It is an arithmetic number, because the mean of its divisors is an integer number (285407508960).

Almost surely, 220211011011212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20211011011212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27399120860160).

20211011011212 is an abundant number, since it is smaller than the sum of its proper divisors (34587230709108).

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

20211011011212 is a wasteful number, since it uses less digits than its factorization.

20211011011212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25272 (or 25270 counting only the distinct ones).

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

Adding to 20211011011212 its reverse (21211011011202), we get a palindrome (41422022022414).

The spelling of 20211011011212 in words is "twenty trillion, two hundred eleven billion, eleven million, eleven thousand, two hundred twelve".