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2001010233222 = 23271113240920887
BaseRepresentation
bin11101000111100101100…
…000010000111110000110
321002021221211210000102100
4131013211200100332012
5230241032104430342
64131130145452530
7264365620226310
oct35074540207606
97067854700370
102001010233222
11701695123a80
12283986341146
13116904945300
146cbc6b027b0
15370b6a30e4c
hex1d1e5810f86

2001010233222 has 288 divisors, whose sum is σ = 5867696540160. Its totient is φ = 478566766080.

The previous prime is 2001010233217. The next prime is 2001010233239. The reversal of 2001010233222 is 2223320101002.

2001010233222 is a `hidden beast` number, since 200 + 1 + 0 + 10 + 233 + 222 = 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 = 2001010233195 and 2001010233204.

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 143 ways as a sum of consecutive naturals, for example, 95791263 + ... + 95812149.

It is an arithmetic number, because the mean of its divisors is an integer number (20373946320).

Almost surely, 22001010233222 is an apocalyptic number.

2001010233222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001010233222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2933848270080).

2001010233222 is an abundant number, since it is smaller than the sum of its proper divisors (3866686306938).

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

2001010233222 is a wasteful number, since it uses less digits than its factorization.

2001010233222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21348 (or 21332 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2001010233222 its reverse (2223320101002), we get a palindrome (4224330334224).

The spelling of 2001010233222 in words is "two trillion, one billion, ten million, two hundred thirty-three thousand, two hundred twenty-two".