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2101122 = 2321131033
BaseRepresentation
bin1000000000111110000010
310221202012100
420000332002
51014213442
6113011230
723600502
oct10007602
93852170
102101122
111205671
12853b16
1358748a
143c9a02
152b784c
hex200f82

2101122 has 24 divisors (see below), whose sum is σ = 4597164. Its totient is φ = 693504.

The previous prime is 2101111. The next prime is 2101123. The reversal of 2101122 is 2211012.

It can be written as a sum of positive squares in 2 ways, for example, as 2099601 + 1521 = 1449^2 + 39^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2101123) 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 11 ways as a sum of consecutive naturals, for example, 1518 + ... + 2550.

22101122 is an apocalyptic number.

2101122 is an abundant number, since it is smaller than the sum of its proper divisors (2496042).

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

2101122 is a wasteful number, since it uses less digits than its factorization.

2101122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2101122 is about 1449.5247497025. The cubic root of 2101122 is about 128.0807189434.

Adding to 2101122 its reverse (2211012), we get a palindrome (4312134).

It can be divided in two parts, 2 and 101122, that added together give a square (101124 = 3182).

The spelling of 2101122 in words is "two million, one hundred one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 113 226 339 678 1017 1033 2034 2066 3099 6198 9297 18594 116729 233458 350187 700374 1050561 2101122