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221200221202020 = 223551011288934963
BaseRepresentation
bin110010010010111000110000…
…100110111110011001100100
31002000012112102202000220100000
4302102320300212332121210
5212443121023111431040
62102241551225221300
764410121455253344
oct6222706046763144
91060175382026300
10221200221202020
116453253a210865
1220986102631830
139657125929188
143c8a20d90ad24
151a88dd3257130
hexc92e309be664

221200221202020 has 288 divisors, whose sum is σ = 702788869560960. Its totient is φ = 58396497177600.

The previous prime is 221200221202019. The next prime is 221200221202043. The reversal of 221200221202020 is 20202122002122.

221200221202020 is a `hidden beast` number, since 2 + 21 + 200 + 221 + 20 + 202 + 0 = 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 = 221200221201984 and 221200221202002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6326677059 + ... + 6326712021.

It is an arithmetic number, because the mean of its divisors is an integer number (2440239130420).

Almost surely, 2221200221202020 is an apocalyptic number.

221200221202020 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 221200221202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351394434780480).

221200221202020 is an abundant number, since it is smaller than the sum of its proper divisors (481588648358940).

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

221200221202020 is a wasteful number, since it uses less digits than its factorization.

221200221202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47977 (or 47963 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 221200221202020 its reverse (20202122002122), we get a palindrome (241402343204142).

The spelling of 221200221202020 in words is "two hundred twenty-one trillion, two hundred billion, two hundred twenty-one million, two hundred two thousand, twenty".