Search a number
-
+
1110121122123 = 3213167311182687
BaseRepresentation
bin10000001001111000011…
…000000000100101001011
310221010102020202001011200
4100021320120000211023
5121142012001401443
62205552124155243
7143126556563136
oct20117030004513
93833366661150
101110121122123
11398888483932
1215b195398b23
13808b78c3330
143ba3175921d
151dd242d6dd3
hex1027860094b

1110121122123 has 48 divisors (see below), whose sum is σ = 1742790905856. Its totient is φ = 676873552320.

The previous prime is 1110121122079. The next prime is 1110121122133. The reversal of 1110121122123 is 3212211210111.

It is a happy number.

It is not a de Polignac number, because 1110121122123 - 28 = 1110121121867 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1110121122096 and 1110121122105.

It is not an unprimeable number, because it can be changed into a prime (1110121122133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5985286 + ... + 6167972.

It is an arithmetic number, because the mean of its divisors is an integer number (36308143872).

Almost surely, 21110121122123 is an apocalyptic number.

1110121122123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1110121122123 is a deficient number, since it is larger than the sum of its proper divisors (632669783733).

1110121122123 is a wasteful number, since it uses less digits than its factorization.

1110121122123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183184 (or 183181 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 1110121122123 its reverse (3212211210111), we get a palindrome (4322332332234).

The spelling of 1110121122123 in words is "one trillion, one hundred ten billion, one hundred twenty-one million, one hundred twenty-two thousand, one hundred twenty-three".

Divisors: 1 3 9 13 39 117 167 311 501 933 1503 2171 2799 4043 6513 12129 19539 36387 51937 155811 182687 467433 548061 675181 1644183 2025543 2374931 6076629 7124793 21374379 30508729 56815657 91526187 170446971 274578561 396613477 511340913 738603541 1189840431 2215810623 3569521293 6647431869 9488214719 28464644157 85393932471 123346791347 370040374041 1110121122123