Search a number
-
+
1101111010110 = 232537330663967
BaseRepresentation
bin10000000001011111010…
…101001010001100111110
310220021011022121221002100
4100001133111022030332
5121020033404310420
62201502102205530
7142360362105036
oct20013725121476
93807138557070
101101111010110
11394a84506371
1215949ba238a6
137cab00124c7
143b418c708c6
151d9982ae190
hex1005f54a33e

1101111010110 has 48 divisors (see below), whose sum is σ = 2940264003456. Its totient is φ = 285693666624.

The previous prime is 1101111010067. The next prime is 1101111010117. The reversal of 1101111010110 is 110101111011.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1101111010092 and 1101111010101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101111010117) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 165328654 + ... + 165335313.

It is an arithmetic number, because the mean of its divisors is an integer number (61255500072).

Almost surely, 21101111010110 is an apocalyptic number.

1101111010110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1101111010110 is an abundant number, since it is smaller than the sum of its proper divisors (1839152993346).

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

1101111010110 is a wasteful number, since it uses less digits than its factorization.

1101111010110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330664017 (or 330664014 counting only the distinct ones).

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

Adding to 1101111010110 its reverse (110101111011), we get a palindrome (1211212121121).

The spelling of 1101111010110 in words is "one trillion, one hundred one billion, one hundred eleven million, ten thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3330 330663967 661327934 991991901 1653319835 1983983802 2975975703 3306639670 4959959505 5951951406 9919919010 12234566779 14879878515 24469133558 29759757030 36703700337 61172833895 73407400674 110111101011 122345667790 183518501685 220222202022 367037003370 550555505055 1101111010110