Search a number
-
+
110101100020 = 2255505055001
BaseRepresentation
bin110011010001010001…
…0010111010111110100
3101112012010122101112021
41212202202113113310
53300441340200040
6122325120402524
710645256623462
oct1464242272764
9345163571467
10110101100020
114276a22304a
1219408776444
13a4c84372c2
1454867bd832
152ce5e1824a
hex19a28975f4

110101100020 has 12 divisors (see below), whose sum is σ = 231212310084. Its totient is φ = 44040440000.

The previous prime is 110101100017. The next prime is 110101100029. The reversal of 110101100020 is 20001101011.

It can be written as a sum of positive squares in 2 ways, for example, as 35039347344 + 75061752676 = 187188^2 + 273974^2 .

It is a super-2 number, since 2×1101011000202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110101099976 and 110101100012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110101100029) 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 3 ways as a sum of consecutive naturals, for example, 2752527481 + ... + 2752527520.

It is an arithmetic number, because the mean of its divisors is an integer number (19267692507).

Almost surely, 2110101100020 is an apocalyptic number.

110101100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110101100020 is an abundant number, since it is smaller than the sum of its proper divisors (121111210064).

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

110101100020 is a wasteful number, since it uses less digits than its factorization.

110101100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5505055010 (or 5505055008 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 110101100020 its reverse (20001101011), we get a palindrome (130102201031).

Subtracting from 110101100020 its reverse (20001101011), we obtain a palindrome (90099999009).

The spelling of 110101100020 in words is "one hundred ten billion, one hundred one million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 5505055001 11010110002 22020220004 27525275005 55050550010 110101100020