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2100241 = 111319773
BaseRepresentation
bin1000000000110000010001
310221200222201
420000300101
51014201431
6113003201
723565103
oct10006021
93850881
102100241
111204a40
12853501
13586c60
143c9573
152b7461
hex200c11

2100241 has 16 divisors (see below), whose sum is σ = 2600640. Its totient is φ = 1667520.

The previous prime is 2100239. The next prime is 2100247. The reversal of 2100241 is 1420012.

It is a cyclic number.

It is not a de Polignac number, because 2100241 - 21 = 2100239 is a prime.

It is a super-2 number, since 2×21002412 = 8822024516162, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2100247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2331 + ... + 3103.

It is an arithmetic number, because the mean of its divisors is an integer number (162540).

22100241 is an apocalyptic number.

It is an amenable number.

2100241 is a deficient number, since it is larger than the sum of its proper divisors (500399).

2100241 is a wasteful number, since it uses less digits than its factorization.

2100241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816.

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2100241 is about 1449.2208251333. The cubic root of 2100241 is about 128.0628150348.

Subtracting from 2100241 its product of nonzero digits (16), we obtain a triangular number (2100225 = T2049).

Adding to 2100241 its reverse (1420012), we get a palindrome (3520253).

The spelling of 2100241 in words is "two million, one hundred thousand, two hundred forty-one".

Divisors: 1 11 13 19 143 209 247 773 2717 8503 10049 14687 110539 161557 190931 2100241