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2232322230101 = 417913933714713
BaseRepresentation
bin100000011111000000110…
…001100000011101010101
321220102000101002221122212
4200133000301200131111
5243033243442330401
64425303100403205
7320165011610045
oct40370061403525
97812011087585
102232322230101
117907a477a947
12300780246505
131326790a4c92
147a08b593725
153d103d8ddbb
hex207c0c60755

2232322230101 has 32 divisors (see below), whose sum is σ = 2339455372800. Its totient is φ = 2128357969920.

The previous prime is 2232322230071. The next prime is 2232322230107. The reversal of 2232322230101 is 1010322232322.

It is a cyclic number.

It is not a de Polignac number, because 2232322230101 - 210 = 2232322229077 is a prime.

It is a super-3 number, since 3×22323222301013 (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2232322230107) 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 31 ways as a sum of consecutive naturals, for example, 151717121 + ... + 151731833.

It is an arithmetic number, because the mean of its divisors is an integer number (73107980400).

Almost surely, 22232322230101 is an apocalyptic number.

It is an amenable number.

2232322230101 is a deficient number, since it is larger than the sum of its proper divisors (107133142699).

2232322230101 is a wasteful number, since it uses less digits than its factorization.

2232322230101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15309.

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 2232322230101 its reverse (1010322232322), we get a palindrome (3242644462423).

The spelling of 2232322230101 in words is "two trillion, two hundred thirty-two billion, three hundred twenty-two million, two hundred thirty thousand, one hundred one".

Divisors: 1 41 79 139 337 3239 5699 10981 13817 14713 26623 46843 450221 603233 1091543 1162327 1920563 2045107 3700597 4958281 47655407 83849387 151724477 161563453 203289521 391704199 689201059 6624101573 16059872159 28257243419 54446883661 2232322230101