Search a number
-
+
2201021211123 = 32731813939209
BaseRepresentation
bin100000000001110111000…
…101100110000111110011
321210102012221201102202200
4200001313011212013303
5242030142412223443
64403045111114243
7315006233415000
oct40016705460763
97712187642680
102201021211123
117794a2103019
122b66a5672983
1312c72b309187
147875c4408a7
153c3c0e22dd3
hex200771661f3

2201021211123 has 48 divisors (see below), whose sum is σ = 3728068344000. Its totient is φ = 1250777324160.

The previous prime is 2201021211097. The next prime is 2201021211127. The reversal of 2201021211123 is 3211121201022.

It is not a de Polignac number, because 2201021211123 - 221 = 2201019113971 is a prime.

It is a super-2 number, since 2×22010212111232 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2201021211096 and 2201021211105.

It is not an unprimeable number, because it can be changed into a prime (2201021211127) 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 47 ways as a sum of consecutive naturals, for example, 1410858 + ... + 2528351.

It is an arithmetic number, because the mean of its divisors is an integer number (77668090500).

Almost surely, 22201021211123 is an apocalyptic number.

2201021211123 is a deficient number, since it is larger than the sum of its proper divisors (1527047132877).

2201021211123 is a wasteful number, since it uses less digits than its factorization.

2201021211123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3939417 (or 3939400 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2201021211123 its reverse (3211121201022), we get a palindrome (5412142412145).

The spelling of 2201021211123 in words is "two trillion, two hundred one billion, twenty-one million, two hundred eleven thousand, one hundred twenty-three".

Divisors: 1 3 7 9 21 49 63 147 181 343 441 543 1029 1267 1629 3087 3801 8869 11403 26607 62083 79821 186249 558747 3939209 11817627 27574463 35452881 82723389 193021241 248170167 579063723 712996829 1351148687 1737191169 2138990487 4053446061 4990977803 6416971461 12160338183 14972933409 34936844621 44918800227 104810533863 244557912347 314431601589 733673737041 2201021211123