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2213021144001 = 317273325910729
BaseRepresentation
bin100000001101000010010…
…101101101001111000001
321211120012020201012001010
4200031002111231033001
5242224231403102001
64412351535231133
7315612504232023
oct40150225551701
97746166635033
102213021144001
1178359a819218
122b8a943784a9
131308c1449285
147917a042013
153c87467d8d6
hex2034256d3c1

2213021144001 has 48 divisors (see below), whose sum is σ = 3178684385600. Its totient is φ = 1368993042432.

The previous prime is 2213021143997. The next prime is 2213021144003. The reversal of 2213021144001 is 1004411203122.

It is not a de Polignac number, because 2213021144001 - 22 = 2213021143997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2213021144003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 206260005 + ... + 206270733.

Almost surely, 22213021144001 is an apocalyptic number.

It is an amenable number.

2213021144001 is a deficient number, since it is larger than the sum of its proper divisors (965663241599).

2213021144001 is a wasteful number, since it uses less digits than its factorization.

2213021144001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14098 (or 14081 counting only the distinct ones).

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

Adding to 2213021144001 its reverse (1004411203122), we get a palindrome (3217432347123).

The spelling of 2213021144001 in words is "two trillion, two hundred thirteen billion, twenty-one million, one hundred forty-four thousand, one".

Divisors: 1 3 17 51 73 219 289 867 1241 3259 3723 9777 10729 21097 32187 55403 63291 166209 182393 237907 547179 713721 783217 941851 2349651 2825553 3100681 4044419 9302043 12133257 13314689 34965811 39944067 68755123 104897433 206265369 226349713 594418787 679049139 1783256361 2552504203 7657512609 10105119379 30315358137 43392571451 130177714353 737673714667 2213021144001