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101111010000099 = 311214915165318959
BaseRepresentation
bin10110111111010110111101…
…110101010111110011100011
3111021000010012010122020210220
4112333112331311113303203
5101223100322030000344
6555013431242454123
730204013041262401
oct2677267565276343
9437003163566726
10101111010000099
112a242a36206200
12b40bba8804343
13445595bc3a478
141ad7b28630471
15ba51e1b37c19
hex5bf5bdd57ce3

101111010000099 has 96 divisors (see below), whose sum is σ = 150405099264000. Its totient is φ = 60369248544000.

The previous prime is 101111010000071. The next prime is 101111010000113. The reversal of 101111010000099 is 990000010111101.

It is not a de Polignac number, because 101111010000099 - 229 = 101110473129187 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101111010100099) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5333130982 + ... + 5333149940.

It is an arithmetic number, because the mean of its divisors is an integer number (1566719784000).

Almost surely, 2101111010000099 is an apocalyptic number.

101111010000099 is a deficient number, since it is larger than the sum of its proper divisors (49294089263901).

101111010000099 is a wasteful number, since it uses less digits than its factorization.

101111010000099 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19937 (or 19926 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 24.

The spelling of 101111010000099 in words is "one hundred one trillion, one hundred eleven billion, ten million, ninety-nine", and thus it is an aban number.

Divisors: 1 3 11 33 121 149 151 363 447 453 653 1639 1661 1959 4917 4983 7183 18029 18271 18959 21549 22499 54087 54813 56877 67497 79013 97297 98603 208549 237039 247489 291891 295809 625647 742467 1070267 1084633 2294039 2722379 2824891 2862809 3210801 3253899 6882117 8167137 8474673 8588427 11772937 11930963 12380227 14691847 31073801 31490899 35318811 35792889 37140681 44075541 93221403 94472697 136182497 161610317 341811811 346399889 408547491 426558541 484830951 1025435433 1039199667 1279675623 1498007467 1777713487 1844653823 1869414277 4494022401 4692143951 5333140461 5533961469 5608242831 14076431853 20291192053 20563557047 51613583461 60873576159 61690671141 154840750383 223203112583 226199127517 278542727273 669609337749 678597382551 835628181819 3063970000003 9191910000009 33703670000033 101111010000099