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201002221022220 = 22325313710114964693
BaseRepresentation
bin101101101100111101111001…
…111110111010110000001100
3222100200121212101022002202200
4231230331321332322300030
5202321210022040202340
61551255051240121500
760223634262410142
oct5554757176726014
9870617771262680
10201002221022220
11590556217170a2
121a6636b1166290
138820574739847
14378c7b901b592
1518387e07c6330
hexb6cf79fbac0c

201002221022220 has 576 divisors, whose sum is σ = 657175936435200. Its totient is φ = 49633772544000.

The previous prime is 201002221022201. The next prime is 201002221022249. The reversal of 201002221022220 is 22220122200102.

201002221022220 is a `hidden beast` number, since 20 + 100 + 222 + 102 + 2 + 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 = 201002221022193 and 201002221022202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3106984194 + ... + 3107048886.

It is an arithmetic number, because the mean of its divisors is an integer number (1140930445200).

Almost surely, 2201002221022220 is an apocalyptic number.

201002221022220 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 201002221022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328587968217600).

201002221022220 is an abundant number, since it is smaller than the sum of its proper divisors (456173715412980).

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

201002221022220 is a wasteful number, since it uses less digits than its factorization.

201002221022220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65026 (or 65021 counting only the distinct ones).

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

Adding to 201002221022220 its reverse (22220122200102), we get a palindrome (223222343222322).

The spelling of 201002221022220 in words is "two hundred one trillion, two billion, two hundred twenty-one million, twenty-two thousand, two hundred twenty".