Search a number
-
+
11110110101000 = 235319955829699
BaseRepresentation
bin1010000110101100011000…
…1010100111111000001000
31110100010010200020100212022
42201223012022213320020
52424012001141213000
635343525241104012
72224451612456051
oct241530612477010
943303120210768
1011110110101000
1135a385356a589
1212b5269488008
136278a9690281
142a5a37219728
15143eed29e585
hexa1ac62a7e08

11110110101000 has 64 divisors (see below), whose sum is σ = 26128299600000. Its totient is φ = 4421712081600.

The previous prime is 11110110100993. The next prime is 11110110101021. The reversal of 11110110101000 is 10101101111.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27715850 + ... + 28113849.

It is an arithmetic number, because the mean of its divisors is an integer number (408254681250).

Almost surely, 211110110101000 is an apocalyptic number.

11110110101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11110110101000 is an abundant number, since it is smaller than the sum of its proper divisors (15018189499000).

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

11110110101000 is a wasteful number, since it uses less digits than its factorization.

11110110101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55829919 (or 55829905 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 11110110101000 its reverse (10101101111), we get a palindrome (11120211202111).

The spelling of 11110110101000 in words is "eleven trillion, one hundred ten billion, one hundred ten million, one hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 199 200 250 398 500 796 995 1000 1592 1990 3980 4975 7960 9950 19900 24875 39800 49750 99500 199000 55829699 111659398 223318796 279148495 446637592 558296990 1116593980 1395742475 2233187960 2791484950 5582969900 6978712375 11110110101 11165939800 13957424750 22220220202 27914849500 44440440404 55550550505 55829699000 88880880808 111101101010 222202202020 277752752525 444404404040 555505505050 1111011010100 1388763762625 2222022020200 2777527525250 5555055050500 11110110101000