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1110022340141 = 11131716313272111
BaseRepresentation
bin10000001001110010011…
…111001011111000101101
310221010011100212101202202
4100021302133023320231
5121141311204341031
62205534235031245
7143124250133051
oct20116237137055
93833140771682
101110022340141
11398837744530
1215b16829b525
13808a02b8060
143ba225a3c61
151dd1a7c32cb
hex102727cbe2d

1110022340141 has 64 divisors (see below), whose sum is σ = 1390969552896. Its totient is φ = 870246374400.

The previous prime is 1110022340101. The next prime is 1110022340191. The reversal of 1110022340141 is 1410432200111.

It is not a de Polignac number, because 1110022340141 - 222 = 1110018145837 is a prime.

It is a super-2 number, since 2×11100223401412 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1110022340101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 525826676 + ... + 525828786.

It is an arithmetic number, because the mean of its divisors is an integer number (21733899264).

Almost surely, 21110022340141 is an apocalyptic number.

1110022340141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1110022340141 is a deficient number, since it is larger than the sum of its proper divisors (280947212755).

1110022340141 is a wasteful number, since it uses less digits than its factorization.

1110022340141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3642.

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 1110022340141 its reverse (1410432200111), we get a palindrome (2520454540252).

The spelling of 1110022340141 in words is "one trillion, one hundred ten billion, twenty-two million, three hundred forty thousand, one hundred forty-one".

Divisors: 1 11 13 17 143 163 187 221 1327 1793 2111 2119 2431 2771 14597 17251 22559 23221 23309 27443 30481 35887 36023 189761 216301 248149 293267 301873 344093 394757 396253 466531 2379311 2801297 2811913 3225937 3677117 3785023 4473209 5131841 5849581 30814267 30931043 36416861 40448287 47622049 47802521 49205299 64345391 76044553 400585471 456611411 523842539 525827731 619086637 836490083 5022725521 5935948343 6809953007 7762393987 65295431773 85386333857 100911121831 1110022340141