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10010111101110 = 23251924124289901
BaseRepresentation
bin1001000110101010100100…
…0111011100100010110110
31022102221211212001102000200
42101222221013130202312
52303001201420213420
633142325341021330
72052130612315221
oct221525107344266
938387755042020
1010010111101110
11320a29a831a2a
121158039b54846
13577c45b752a3
142686c5d325b8
151255bc949b90
hex91aa91dc8b6

10010111101110 has 96 divisors (see below), whose sum is σ = 27509771409120. Its totient is φ = 2518376832000.

The previous prime is 10010111101099. The next prime is 10010111101169. The reversal of 10010111101110 is 1110111101001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10010111101092 and 10010111101101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11732841 + ... + 12557060.

It is an arithmetic number, because the mean of its divisors is an integer number (286560118845).

Almost surely, 210010111101110 is an apocalyptic number.

10010111101110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10010111101110 is an abundant number, since it is smaller than the sum of its proper divisors (17499660308010).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10010111101110 is a wasteful number, since it uses less digits than its factorization.

10010111101110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24290174 (or 24290171 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 10010111101110 its reverse (1110111101001), we get a palindrome (11120222202111).

The spelling of 10010111101110 in words is "ten trillion, ten billion, one hundred eleven million, one hundred one thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 241 285 342 482 570 723 855 1205 1446 1710 2169 2410 3615 4338 4579 7230 9158 10845 13737 21690 22895 27474 41211 45790 68685 82422 137370 206055 412110 24289901 48579802 72869703 121449505 145739406 218609109 242899010 364348515 437218218 461508119 728697030 923016238 1093045545 1384524357 2186091090 2307540595 2769048714 4153573071 4615081190 5853866141 6922621785 8307146142 11707732282 13845243570 17561598423 20767865355 29269330705 35123196846 41535730710 52684795269 58538661410 87807992115 105369590538 111223456679 175615984230 222446913358 263423976345 333670370037 526847952690 556117283395 667340740074 1001011110111 1112234566790 1668351850185 2002022220222 3336703700370 5005055550555 10010111101110