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201044201220 = 223253743823853
BaseRepresentation
bin1011101100111100101…
…0110000111100000100
3201012221010010121021200
42323033022300330010
511243214303414340
6232205230542500
720345030341302
oct2731712607404
9635833117250
10201044201220
1178298235015
1232b69367a30
1315c5c764215
149a32a57272
155369e87330
hex2ecf2b0f04

201044201220 has 288 divisors, whose sum is σ = 642412522752. Its totient is φ = 50828166144.

The previous prime is 201044201219. The next prime is 201044201243. The reversal of 201044201220 is 22102440102.

201044201220 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 442 + 0 + 1 + 220 = 666.

201044201220 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 201044201193 and 201044201202.

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 95 ways as a sum of consecutive naturals, for example, 235690314 + ... + 235691166.

Almost surely, 2201044201220 is an apocalyptic number.

201044201220 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 201044201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321206261376).

201044201220 is an abundant number, since it is smaller than the sum of its proper divisors (441368321532).

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

201044201220 is a wasteful number, since it uses less digits than its factorization.

201044201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1771 (or 1766 counting only the distinct ones).

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

Adding to 201044201220 its reverse (22102440102), we get a palindrome (223146641322).

The spelling of 201044201220 in words is "two hundred one billion, forty-four million, two hundred one thousand, two hundred twenty".