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2101013 = 17731693
BaseRepresentation
bin1000000000111100010101
310221202001022
420000330111
51014213023
6113010525
723600255
oct10007425
93852038
102101013
111205582
12853a45
13587405
143c9965
152b77c8
hex200f15

2101013 has 8 divisors (see below), whose sum is σ = 2256408. Its totient is φ = 1949184.

The previous prime is 2101007. The next prime is 2101019. The reversal of 2101013 is 3101012.

It is an interprime number because it is at equal distance from previous prime (2101007) and next prime (2101019).

It can be written as a sum of positive squares in 4 ways, for example, as 508369 + 1592644 = 713^2 + 1262^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 2101013 - 24 = 2100997 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 395 + ... + 2087.

It is an arithmetic number, because the mean of its divisors is an integer number (282051).

22101013 is an apocalyptic number.

It is an amenable number.

2101013 is a deficient number, since it is larger than the sum of its proper divisors (155395).

2101013 is a wasteful number, since it uses less digits than its factorization.

2101013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1783.

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 2101013 is about 1449.4871506847. The cubic root of 2101013 is about 128.0785040887.

Adding to 2101013 its reverse (3101012), we get a palindrome (5202025).

Subtracting 2101013 from its reverse (3101012), we obtain a palindrome (999999).

The spelling of 2101013 in words is "two million, one hundred one thousand, thirteen".

Divisors: 1 17 73 1241 1693 28781 123589 2101013