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2111213 = 131741233
BaseRepresentation
bin1000000011011011101101
310222021001002
420003123231
51020024323
6113130045
723642066
oct10033355
93867032
102111213
111212205
12859925
1358bc50
143cd56d
152ba828
hex2036ed

2111213 has 16 divisors (see below), whose sum is σ = 2476656. Its totient is φ = 1781760.

The previous prime is 2111189. The next prime is 2111231. The reversal of 2111213 is 3121112.

2111213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 465124 + 1646089 = 682^2 + 1283^2 .

It is a cyclic number.

It is not a de Polignac number, because 2111213 - 210 = 2110189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2111194 and 2111203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8945 + ... + 9177.

It is an arithmetic number, because the mean of its divisors is an integer number (154791).

22111213 is an apocalyptic number.

It is an amenable number.

2111213 is a deficient number, since it is larger than the sum of its proper divisors (365443).

2111213 is a wasteful number, since it uses less digits than its factorization.

2111213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304.

The product of its digits is 12, while the sum is 11.

The square root of 2111213 is about 1453.0013764618. The cubic root of 2111213 is about 128.2854347962.

Adding to 2111213 its reverse (3121112), we get a palindrome (5232325).

The spelling of 2111213 in words is "two million, one hundred eleven thousand, two hundred thirteen".

Divisors: 1 13 17 41 221 233 533 697 3029 3961 9061 9553 51493 124189 162401 2111213