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101110000111110 = 2345314026682601
BaseRepresentation
bin10110111111010110000001…
…101000111100111000000110
3111021000000120202100120120000
4112333112001220330320012
5101223041240012023420
6555013143125222130
730203646026333544
oct2677260150747006
9437000522316500
10101110000111110
112a242568148701
12b40b966561946
13445582a94a113
141ad7a7046ad94
15ba5183151690
hex5bf581a3ce06

101110000111110 has 80 divisors (see below), whose sum is σ = 280643670628992. Its totient is φ = 26092903248000.

The previous prime is 101110000111063. The next prime is 101110000111151. The reversal of 101110000111110 is 11111000011101.

101110000111110 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 = 101110000111092 and 101110000111101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2013316191 + ... + 2013366410.

Almost surely, 2101110000111110 is an apocalyptic number.

101110000111110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101110000111110 is an abundant number, since it is smaller than the sum of its proper divisors (179533670517882).

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

101110000111110 is a wasteful number, since it uses less digits than its factorization.

101110000111110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4026682651 (or 4026682642 counting only the distinct ones).

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

Adding to 101110000111110 its reverse (11111000011101), we get a palindrome (112221000122211).

The spelling of 101110000111110 in words is "one hundred one trillion, one hundred ten billion, one hundred eleven thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 81 90 93 135 155 162 186 270 279 310 405 465 558 810 837 930 1395 1674 2511 2790 4185 5022 8370 12555 25110 4026682601 8053365202 12080047803 20133413005 24160095606 36240143409 40266826010 60400239015 72480286818 108720430227 120800478030 124827160631 181200717045 217440860454 249654321262 326161290681 362401434090 374481481893 543602151135 624135803155 652322581362 748962963786 1087204302270 1123444445679 1248271606310 1630806453405 1872407409465 2246888891358 3261612906810 3370333337037 3744814818930 5617222228395 6740666674074 10111000011111 11234444456790 16851666685185 20222000022222 33703333370370 50555000055555 101110000111110