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11220012210020 = 2251061528747041
BaseRepresentation
bin1010001101000101110011…
…0101111001011101100100
31110201121210221102222001112
42203101130311321131210
52432312041111210040
635510222532444152
72235422235130055
oct243213465713544
943647727388045
1011220012210020
113636420429759
12131261b479658
13635072804603
142ab0a13da72c
15146cd19ac365
hexa345cd79764

11220012210020 has 24 divisors (see below), whose sum is σ = 23584233061368. Its totient is φ = 4483774899200.

The previous prime is 11220012210019. The next prime is 11220012210023. The reversal of 11220012210020 is 2001221002211.

It can be written as a sum of positive squares in 4 ways, for example, as 4561744158976 + 6658268051044 = 2135824^2 + 2580362^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11220012209977 and 11220012210004.

It is not an unprimeable number, because it can be changed into a prime (11220012210023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 264352301 + ... + 264394740.

It is an arithmetic number, because the mean of its divisors is an integer number (982676377557).

Almost surely, 211220012210020 is an apocalyptic number.

11220012210020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11220012210020 is an abundant number, since it is smaller than the sum of its proper divisors (12364220851348).

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

11220012210020 is a wasteful number, since it uses less digits than its factorization.

11220012210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528748111 (or 528748109 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 11220012210020 its reverse (2001221002211), we get a palindrome (13221233212231).

The spelling of 11220012210020 in words is "eleven trillion, two hundred twenty billion, twelve million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 1061 2122 4244 5305 10610 21220 528747041 1057494082 2114988164 2643735205 5287470410 10574940820 561000610501 1122001221002 2244002442004 2805003052505 5610006105010 11220012210020