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1114121131220 = 22555706056561
BaseRepresentation
bin10000001101100110110…
…010110101010011010100
310221111202000110120002202
4100031212302311103110
5121223210002144340
62211453054224032
7143330650235216
oct20154662652324
93844660416082
101114121131220
1139a550373979
1215bb10ab5018
13810a4518c16
143bcd0ab25b6
151deaa55ec15
hex10366cb54d4

1114121131220 has 12 divisors (see below), whose sum is σ = 2339654375604. Its totient is φ = 445648452480.

The previous prime is 1114121131171. The next prime is 1114121131223. The reversal of 1114121131220 is 221311214111.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 759348416836 + 354772714384 = 871406^2 + 595628^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 55706056561 = 1114121131220 / (1 + 1 + 1 + 4 + 1 + 2 + 1 + 1 + 3 + 1 + 2 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 1114121131192 and 1114121131201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1114121131223) 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, 27853028261 + ... + 27853028300.

It is an arithmetic number, because the mean of its divisors is an integer number (194971197967).

Almost surely, 21114121131220 is an apocalyptic number.

1114121131220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1114121131220 is an abundant number, since it is smaller than the sum of its proper divisors (1225533244384).

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

1114121131220 is a wasteful number, since it uses less digits than its factorization.

1114121131220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55706056570 (or 55706056568 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 20.

Adding to 1114121131220 its reverse (221311214111), we get a palindrome (1335432345331).

The spelling of 1114121131220 in words is "one trillion, one hundred fourteen billion, one hundred twenty-one million, one hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 55706056561 111412113122 222824226244 278530282805 557060565610 1114121131220