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2131110 = 2355877
BaseRepresentation
bin1000001000010010100110
311000021100000
420020102212
51021143420
6113402130
724054102
oct10102246
94007300
102131110
111226153
12869346
13598017
143d6902
152c1690
hex2084a6

2131110 has 48 divisors (see below), whose sum is σ = 5752656. Its totient is φ = 567648.

The previous prime is 2131109. The next prime is 2131127. The reversal of 2131110 is 111312.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2131092 and 2131101.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1992 + ... + 2868.

It is an arithmetic number, because the mean of its divisors is an integer number (119847).

22131110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2876328).

2131110 is an abundant number, since it is smaller than the sum of its proper divisors (3621546).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2131110 is an equidigital number, since it uses as much as digits as its factorization.

2131110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 887 counting only the distinct ones).

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

The square root of 2131110 is about 1459.8321821360. The cubic root of 2131110 is about 128.6871814706.

Adding to 2131110 its reverse (111312), we get a palindrome (2242422).

It can be divided in two parts, 21311 and 10, that added together give a triangular number (21321 = T206).

The spelling of 2131110 in words is "two million, one hundred thirty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 810 877 1215 1754 2430 2631 4385 5262 7893 8770 13155 15786 23679 26310 39465 47358 71037 78930 118395 142074 213111 236790 355185 426222 710370 1065555 2131110