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2442130110 = 2325722324077
BaseRepresentation
bin1001000110001111…
…1111001010111110
320022012022001201100
42101203333022332
520000141130420
61042155153530
7114342522600
oct22143771276
96265261640
102442130110
111043578552
12581a458a6
132cbc49c04
141924a9170
15e45e9190
hex918ff2be

2442130110 has 144 divisors (see below), whose sum is σ = 7707656736. Its totient is φ = 533909376.

The previous prime is 2442130069. The next prime is 2442130111. The reversal of 2442130110 is 110312442.

It is a super-2 number, since 2×24421301102 = 11927998948337224200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2442130111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 89392 + ... + 113468.

It is an arithmetic number, because the mean of its divisors is an integer number (53525394).

Almost surely, 22442130110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2442130110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3853828368).

2442130110 is an abundant number, since it is smaller than the sum of its proper divisors (5265526626).

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

2442130110 is a wasteful number, since it uses less digits than its factorization.

2442130110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24127 (or 24117 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2442130110 is about 49417.9128454450. The cubic root of 2442130110 is about 1346.6547462293.

Adding to 2442130110 its reverse (110312442), we get a palindrome (2552442552).

The spelling of 2442130110 in words is "two billion, four hundred forty-two million, one hundred thirty thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 23 30 35 42 45 46 49 63 69 70 90 98 105 115 126 138 147 161 207 210 230 245 294 315 322 345 414 441 483 490 630 690 735 805 882 966 1035 1127 1449 1470 1610 2070 2205 2254 2415 2898 3381 4410 4830 5635 6762 7245 10143 11270 14490 16905 20286 24077 33810 48154 50715 72231 101430 120385 144462 168539 216693 240770 337078 361155 433386 505617 553771 722310 842695 1011234 1083465 1107542 1179773 1516851 1661313 1685390 2166930 2359546 2528085 2768855 3033702 3322626 3539319 3876397 4983939 5056170 5537710 5898865 7078638 7584255 7752794 8306565 9967878 10617957 11629191 11797730 15168510 16613130 17696595 19381985 21235914 23258382 24919695 27134779 34887573 35393190 38763970 49839390 53089785 54269558 58145955 69775146 81404337 106179570 116291910 135673895 162808674 174437865 244213011 271347790 348875730 407021685 488426022 814043370 1221065055 2442130110