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100303223303311 = 7434734730416719
BaseRepresentation
bin10110110011100110101001…
…111111101010110010001111
3111011010220011002110022220221
4112303212221333222302033
5101121332000131201221
6553154355322252211
730061445243532430
oct2663465177526217
9434126132408827
10100303223303311
1129a613a3722a06
12b2bb52a657067
1343c77269b2202
141aaa9b8087487
15b8e1b4e31541
hex5b39a9feac8f

100303223303311 has 64 divisors (see below), whose sum is σ = 120196446289920. Its totient is φ = 81912098903040.

The previous prime is 100303223303293. The next prime is 100303223303323. The reversal of 100303223303311 is 113303322303001.

It is not a de Polignac number, because 100303223303311 - 245 = 65118851214479 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100303223303911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14928293010 + ... + 14928299728.

It is an arithmetic number, because the mean of its divisors is an integer number (1878069473280).

Almost surely, 2100303223303311 is an apocalyptic number.

100303223303311 is a deficient number, since it is larger than the sum of its proper divisors (19893222986609).

100303223303311 is a wasteful number, since it uses less digits than its factorization.

100303223303311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10204.

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 100303223303311 its reverse (113303322303001), we get a palindrome (213606545606312).

The spelling of 100303223303311 in words is "one hundred trillion, three hundred three billion, two hundred twenty-three million, three hundred three thousand, three hundred eleven".

Divisors: 1 7 43 47 301 329 347 2021 2429 3041 6719 14147 14921 16309 21287 47033 104447 114163 130763 142927 288917 315793 701287 915341 1000489 1055227 2022419 2210551 2331493 4909009 6145861 7386589 13579099 16320451 20432479 43021027 45374761 49595669 95053693 100254199 109580171 143027353 317623327 347169683 701779393 767061197 878596597 960326513 2132613767 4711947353 6150176179 6722285591 7090070213 14928296369 32983631471 41294040059 49630491491 289058280413 304873019159 333233300011 2134111134113 2332633100077 14329031900473 100303223303311