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221020101221220 = 2233571922313800077
BaseRepresentation
bin110010010000010001000000…
…100111110001101101100100
31001222120022111212111211101000
4302100101000213301231210
5212432143131403034340
62102023122141033300
764361114101552110
oct6220210047615544
91058508455454330
10221020101221220
116447310a1802a4
1220957214855830
13964314c196692
143c81603bdc740
151a8439024dd30
hexc904409f1b64

221020101221220 has 384 divisors, whose sum is σ = 830919256473600. Its totient is φ = 47645369593344.

The previous prime is 221020101221197. The next prime is 221020101221263. The reversal of 221020101221220 is 22122101020122.

It is a happy number.

221020101221220 is a `hidden beast` number, since 2 + 21 + 0 + 201 + 0 + 1 + 221 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 221020101221193 and 221020101221202.

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 127 ways as a sum of consecutive naturals, for example, 9115822 + ... + 22915898.

It is an arithmetic number, because the mean of its divisors is an integer number (2163852230400).

Almost surely, 2221020101221220 is an apocalyptic number.

221020101221220 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 221020101221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415459628236800).

221020101221220 is an abundant number, since it is smaller than the sum of its proper divisors (609899155252380).

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

221020101221220 is a wasteful number, since it uses less digits than its factorization.

221020101221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13800344 (or 13800336 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 221020101221220 its reverse (22122101020122), we get a palindrome (243142202241342).

The spelling of 221020101221220 in words is "two hundred twenty-one trillion, twenty billion, one hundred one million, two hundred twenty-one thousand, two hundred twenty".