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2013022320228 = 2232132142329513
BaseRepresentation
bin11101010010110001011…
…110101111011001100100
321010102221222122021000200
4131102301132233121210
5230440132203221403
64140434130310500
7265302366254163
oct35226136573144
97112858567020
102013022320228
11706799690807
12286179128430
13117a9a44c5ba
146d6061893da
153756b38cca3
hex1d4b17af664

2013022320228 has 36 divisors (see below), whose sum is σ = 5092325193228. Its totient is φ = 670499470080.

The previous prime is 2013022320227. The next prime is 2013022320259. The reversal of 2013022320228 is 8220232203102.

2013022320228 is a `hidden beast` number, since 201 + 3 + 0 + 2 + 232 + 0 + 228 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 737482477824 + 1275539842404 = 858768^2 + 1129398^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×20130223202282 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2013022320227) 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 11 ways as a sum of consecutive naturals, for example, 21117201 + ... + 21212312.

Almost surely, 22013022320228 is an apocalyptic number.

It is an amenable number.

2013022320228 is an abundant number, since it is smaller than the sum of its proper divisors (3079302873000).

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

2013022320228 is a wasteful number, since it uses less digits than its factorization.

2013022320228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42330844 (or 42330839 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 2013022320228 in words is "two trillion, thirteen billion, twenty-two million, three hundred twenty thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 1321 2642 3963 5284 7926 11889 15852 23778 47556 42329513 84659026 126988539 169318052 253977078 380965617 507954156 761931234 1523862468 55917286673 111834573346 167751860019 223669146692 335503720038 503255580057 671007440076 1006511160114 2013022320228