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1106000011110 = 235471174366797
BaseRepresentation
bin10000000110000010101…
…111001101111101100110
310220201210001010220122110
4100012002233031331212
5121110042000323420
62204031150341450
7142622465660211
oct20060257157546
93821701126573
101106000011110
1139706319a165
1215a4251ba886
13803abb790c7
143b7602ba778
151db825dbee0
hex10182bcdf66

1106000011110 has 64 divisors (see below), whose sum is σ = 2711148060672. Its totient is φ = 288629256576.

The previous prime is 1106000011079. The next prime is 1106000011117. The reversal of 1106000011110 is 111100006011.

1106000011110 is a modest number, since divided by 11110 gives 11060 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1106000011117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16524232 + ... + 16591028.

It is an arithmetic number, because the mean of its divisors is an integer number (42361688448).

Almost surely, 21106000011110 is an apocalyptic number.

1106000011110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1106000011110 is an abundant number, since it is smaller than the sum of its proper divisors (1605148049562).

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

1106000011110 is a wasteful number, since it uses less digits than its factorization.

1106000011110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78597.

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 1106000011110 its reverse (111100006011), we get a palindrome (1217100017121).

The spelling of 1106000011110 in words is "one trillion, one hundred six billion, eleven thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 47 94 141 235 282 470 705 1410 11743 23486 35229 58715 66797 70458 117430 133594 176145 200391 333985 352290 400782 551921 667970 1001955 1103842 1655763 2003910 2759605 3139459 3311526 5519210 6278918 8278815 9418377 15697295 16557630 18836754 31394590 47091885 94183770 784397171 1568794342 2353191513 3921985855 4706383026 7843971710 11765957565 23531915130 36866667037 73733334074 110600001111 184333335185 221200002222 368666670370 553000005555 1106000011110