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221100020020 = 225111005000091
BaseRepresentation
bin1100110111101010010…
…1101001000100110100
3210010200211200202112101
43031322211221010310
512110303101120040
6245323312431444
721655031106235
oct3157245510464
9703624622471
10221100020020
118584a219580
1236a25b48584
1317b07883919
14a9b650d08c
155b40a7c09a
hex337a969134

221100020020 has 24 divisors (see below), whose sum is σ = 506520046368. Its totient is φ = 80400007200.

The previous prime is 221100020017. The next prime is 221100020047. The reversal of 221100020020 is 20020001122.

221100020020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 221100019979 and 221100020006.

It is a congruent number.

It is an unprimeable number.

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, 502499826 + ... + 502500265.

It is an arithmetic number, because the mean of its divisors is an integer number (21105001932).

Almost surely, 2221100020020 is an apocalyptic number.

221100020020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221100020020 is an abundant number, since it is smaller than the sum of its proper divisors (285420026348).

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

221100020020 is a wasteful number, since it uses less digits than its factorization.

221100020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005000111 (or 1005000109 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 221100020020 its reverse (20020001122), we get a palindrome (241120021142).

The spelling of 221100020020 in words is "two hundred twenty-one billion, one hundred million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 1005000091 2010000182 4020000364 5025000455 10050000910 11055001001 20100001820 22110002002 44220004004 55275005005 110550010010 221100020020