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2001341213322 = 231131741955337
BaseRepresentation
bin11101000111111001001…
…110110110101010001010
321002022210220120112202120
4131013321032312222022
5230242221322311242
64131223051512110
7264410046426003
oct35077116665212
97068726515676
102001341213322
11701844a38250
12283a59158636
1311695839c219
146cc18a5c1aa
15370d5b0e1ec
hex1d1f93b6a8a

2001341213322 has 32 divisors (see below), whose sum is σ = 4366704786624. Its totient is φ = 606447292800.

The previous prime is 2001341213279. The next prime is 2001341213329. The reversal of 2001341213322 is 2233121431002.

It is a super-2 number, since 2×20013412133222 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2001341213292 and 2001341213301.

It is not an unprimeable number, because it can be changed into a prime (2001341213329) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1617238 + ... + 2572574.

It is an arithmetic number, because the mean of its divisors is an integer number (136459524582).

Almost surely, 22001341213322 is an apocalyptic number.

2001341213322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2001341213322 is an abundant number, since it is smaller than the sum of its proper divisors (2365363573302).

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

2001341213322 is a wasteful number, since it uses less digits than its factorization.

2001341213322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987094.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 2001341213322 its reverse (2233121431002), we get a palindrome (4234462644324).

The spelling of 2001341213322 in words is "two trillion, one billion, three hundred forty-one million, two hundred thirteen thousand, three hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 31741 63482 95223 190446 349151 698302 955337 1047453 1910674 2094906 2866011 5732022 10508707 21017414 31526121 63052242 30323351717 60646703434 90970055151 181940110302 333556868887 667113737774 1000670606661 2001341213322