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2220103411131 = 329263400124251
BaseRepresentation
bin100000010011101000011…
…110011010010110111011
321212020110211020122010010
4200103220132122112323
5242333232433124011
64415522412553003
7316253142426114
oct40235036322673
97766424218103
102220103411131
117865a4552351
122ba330182763
1313147c7c7498
147964c89520b
153cb3b2e81a6
hex204e879a5bb

2220103411131 has 32 divisors (see below), whose sum is σ = 3074750046720. Its totient is φ = 1423184000000.

The previous prime is 2220103411129. The next prime is 2220103411199. The reversal of 2220103411131 is 1311143010222.

2220103411131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 2220103411131 - 21 = 2220103411129 is a prime.

It is a super-2 number, since 2×22201034111312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2220103411098 and 2220103411107.

It is not an unprimeable number, because it can be changed into a prime (2220103411111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91534756 + ... + 91559006.

It is an arithmetic number, because the mean of its divisors is an integer number (96085938960).

Almost surely, 22220103411131 is an apocalyptic number.

2220103411131 is a deficient number, since it is larger than the sum of its proper divisors (854646635589).

2220103411131 is a wasteful number, since it uses less digits than its factorization.

2220103411131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28547.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 2220103411131 its reverse (1311143010222), we get a palindrome (3531246421353).

The spelling of 2220103411131 in words is "two trillion, two hundred twenty billion, one hundred three million, four hundred eleven thousand, one hundred thirty-one".

Divisors: 1 3 29 87 263 789 4001 7627 12003 22881 24251 72753 116029 348087 703279 1052263 2109837 3156789 6378013 19134039 30515627 91546881 97028251 184962377 291084753 554887131 2813819279 8441457837 25518430013 76555290039 740034470377 2220103411131