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221211212020 = 225101109510501
BaseRepresentation
bin1100111000000100110…
…1110011100011110100
3210010222120220220021121
43032001031303203310
512111020032241040
6245342323553324
721660551164201
oct3160115634364
9703876826247
10221211212020
11858a6a64797
1236a5722b844
1317b249156c6
14a9c71b4ca8
155b4a6e2c4a
hex33813738f4

221211212020 has 24 divisors (see below), whose sum is σ = 469142990568. Its totient is φ = 87608400000.

The previous prime is 221211212017. The next prime is 221211212021. The reversal of 221211212020 is 20212112122.

It is a happy number.

221211212020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 130474108944 + 90737103076 = 361212^2 + 301226^2 .

It is a super-5 number, since 5×2212112120205 (a number of 58 digits) contains 55555 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221211211985 and 221211212003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221211212021) 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 7 ways as a sum of consecutive naturals, for example, 54753231 + ... + 54757270.

It is an arithmetic number, because the mean of its divisors is an integer number (19547624607).

Almost surely, 2221211212020 is an apocalyptic number.

221211212020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221211212020 is an abundant number, since it is smaller than the sum of its proper divisors (247931778548).

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

221211212020 is a wasteful number, since it uses less digits than its factorization.

221211212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109510611 (or 109510609 counting only the distinct ones).

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

Adding to 221211212020 its reverse (20212112122), we get a palindrome (241423324142).

The spelling of 221211212020 in words is "two hundred twenty-one billion, two hundred eleven million, two hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 109510501 219021002 438042004 547552505 1095105010 2190210020 11060560601 22121121202 44242242404 55302803005 110605606010 221211212020