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2102113 = 131011601
BaseRepresentation
bin1000000001001101100001
310221210120001
420001031201
51014231423
6113020001
723603416
oct10011541
93853501
102102113
111206392
12854601
13587a70
143ca10d
152b7cad
hex201361

2102113 has 8 divisors (see below), whose sum is σ = 2287656. Its totient is φ = 1920000.

The previous prime is 2102099. The next prime is 2102117. The reversal of 2102113 is 3112012.

It can be written as a sum of positive squares in 4 ways, for example, as 1203409 + 898704 = 1097^2 + 948^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2102113 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2102113.

It is not an unprimeable number, because it can be changed into a prime (2102117) 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 7 ways as a sum of consecutive naturals, for example, 513 + ... + 2113.

It is an arithmetic number, because the mean of its divisors is an integer number (285957).

22102113 is an apocalyptic number.

It is an amenable number.

2102113 is a deficient number, since it is larger than the sum of its proper divisors (185543).

2102113 is a wasteful number, since it uses less digits than its factorization.

2102113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1715.

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 2102113 is about 1449.8665455827. The cubic root of 2102113 is about 128.1008523201.

Adding to 2102113 its reverse (3112012), we get a palindrome (5214125).

The spelling of 2102113 in words is "two million, one hundred two thousand, one hundred thirteen".

Divisors: 1 13 101 1313 1601 20813 161701 2102113