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2101242 = 2311133179
BaseRepresentation
bin1000000000111111111010
310221202100210
420000333322
51014214432
6113011550
723601033
oct10007772
93852323
102101242
111205770
12853bb6
13587550
143c9a8a
152b78cc
hex200ffa

2101242 has 64 divisors (see below), whose sum is σ = 5160960. Its totient is φ = 561600.

The previous prime is 2101237. The next prime is 2101243. The reversal of 2101242 is 2421012.

2101242 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2101243) 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 31 ways as a sum of consecutive naturals, for example, 26559 + ... + 26637.

It is an arithmetic number, because the mean of its divisors is an integer number (80640).

22101242 is an apocalyptic number.

2101242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2580480).

2101242 is an abundant number, since it is smaller than the sum of its proper divisors (3059718).

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

2101242 is a wasteful number, since it uses less digits than its factorization.

2101242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139.

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2101242 is about 1449.5661419887. The cubic root of 2101242 is about 128.0831572269.

Adding to 2101242 its reverse (2421012), we get a palindrome (4522254).

The spelling of 2101242 in words is "two million, one hundred one thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 13 22 26 31 33 39 62 66 78 79 93 143 158 186 237 286 341 403 429 474 682 806 858 869 1023 1027 1209 1738 2046 2054 2418 2449 2607 3081 4433 4898 5214 6162 7347 8866 11297 13299 14694 22594 26598 26939 31837 33891 53878 63674 67782 80817 95511 161634 191022 350207 700414 1050621 2101242