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2110113 = 32234457
BaseRepresentation
bin1000000011001010100001
310222012112100
420003022201
51020010423
6113121013
723635635
oct10031241
93865470
102110113
1112113a5
12859169
1358b5b5
143ccdc5
152ba343
hex2032a1

2110113 has 6 divisors (see below), whose sum is σ = 3047954. Its totient is φ = 1406736.

The previous prime is 2110103. The next prime is 2110123. The reversal of 2110113 is 3110112.

It is an interprime number because it is at equal distance from previous prime (2110103) and next prime (2110123).

It can be written as a sum of positive squares in only one way, i.e., 1520289 + 589824 = 1233^2 + 768^2 .

It is not a de Polignac number, because 2110113 - 28 = 2109857 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 234457 = 2110113 / (2 + 1 + 1 + 0 + 1 + 1 + 3).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2110095 and 2110104.

It is not an unprimeable number, because it can be changed into a prime (2110103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 117220 + ... + 117237.

22110113 is an apocalyptic number.

It is an amenable number.

2110113 is a deficient number, since it is larger than the sum of its proper divisors (937841).

2110113 is a wasteful number, since it uses less digits than its factorization.

2110113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234463 (or 234460 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 2110113 is about 1452.6228003167. The cubic root of 2110113 is about 128.2631508464.

Adding to 2110113 its reverse (3110112), we get a palindrome (5220225).

Subtracting 2110113 from its reverse (3110112), we obtain a palindrome (999999).

The spelling of 2110113 in words is "two million, one hundred ten thousand, one hundred thirteen".

Divisors: 1 3 9 234457 703371 2110113