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2001302022018 = 2313179971513819
BaseRepresentation
bin11101000111110110111…
…001010110011110000010
321002022201011211102101210
4131013312321112132002
5230242131304201033
64131215131510550
7264406062336435
oct35076671263602
97068634742353
102001302022018
117018248aa242
12283a47bb8456
131169502297c0
146cc1377981c
15370d246bd63
hex1d1f6e56782

2001302022018 has 64 divisors (see below), whose sum is σ = 4568636096640. Its totient is φ = 578980887552.

The previous prime is 2001302022017. The next prime is 2001302022067. The reversal of 2001302022018 is 8102202031002.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2001302021985 and 2001302022003.

It is not an unprimeable number, because it can be changed into a prime (2001302022017) 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 31 ways as a sum of consecutive naturals, for example, 565113 + ... + 2078931.

It is an arithmetic number, because the mean of its divisors is an integer number (71384939010).

Almost surely, 22001302022018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001302022018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2284318048320).

2001302022018 is an abundant number, since it is smaller than the sum of its proper divisors (2567334074622).

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

2001302022018 is a wasteful number, since it uses less digits than its factorization.

2001302022018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1514851.

The product of its (nonzero) digits is 384, while the sum is 21.

The spelling of 2001302022018 in words is "two trillion, one billion, three hundred two million, twenty-two thousand, eighteen".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 221 442 663 997 1326 1994 2991 5982 12961 16949 25922 33898 38883 50847 77766 101694 220337 440674 661011 1322022 1513819 3027638 4541457 9082914 19679647 25734923 39359294 51469846 59038941 77204769 118077882 154409538 334553999 669107998 1003661997 1509277543 2007323994 3018555086 4527832629 9055665258 19620608059 25657718231 39241216118 51315436462 58861824177 76973154693 117723648354 153946309386 333550337003 667100674006 1000651011009 2001302022018