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2101242444 = 2237297112149
BaseRepresentation
bin111110100111110…
…0110101001001100
312102102212011202020
41331033212221030
513300404224234
6544300530140
7103033160160
oct17517465114
95372764666
102101242444
11989107604
124a7850950
13276434532
1415d0d0ca0
15c4710549
hex7d3e6a4c

2101242444 has 96 divisors (see below), whose sum is σ = 5878656000. Its totient is φ = 571441920.

The previous prime is 2101242443. The next prime is 2101242457. The reversal of 2101242444 is 4442421012.

It is not an unprimeable number, because it can be changed into a prime (2101242443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166882 + ... + 179030.

It is an arithmetic number, because the mean of its divisors is an integer number (61236000).

Almost surely, 22101242444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101242444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2939328000).

2101242444 is an abundant number, since it is smaller than the sum of its proper divisors (3777413556).

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

2101242444 is a wasteful number, since it uses less digits than its factorization.

2101242444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12263 (or 12261 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 2101242444 is about 45839.3111204782. The cubic root of 2101242444 is about 1280.8316624839.

Adding to 2101242444 its reverse (4442421012), we get a palindrome (6543663456).

The spelling of 2101242444 in words is "two billion, one hundred one million, two hundred forty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 71 84 87 116 142 174 203 213 284 348 406 426 497 609 812 852 994 1218 1491 1988 2059 2436 2982 4118 5964 6177 8236 12149 12354 14413 24298 24708 28826 36447 43239 48596 57652 72894 85043 86478 145788 170086 172956 255129 340172 352321 510258 704642 862579 1020516 1056963 1409284 1725158 2113926 2466247 2587737 3450316 4227852 4932494 5175474 6038053 7398741 9864988 10350948 12076106 14797482 18114159 24152212 25014791 29594964 36228318 50029582 72456636 75044373 100059164 150088746 175103537 300177492 350207074 525310611 700414148 1050621222 2101242444