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103424033130 = 235112968315823
BaseRepresentation
bin110000001010010001…
…1011000000101101010
3100212221210120020200120
41200110203120011222
53143303023030010
6115302355544110
710320641530245
oct1402443300552
9325853506616
10103424033130
113a953196950
12180645bb036
1399a2ccb652
145011ac625c
152a54b3ce70
hex18148d816a

103424033130 has 128 divisors (see below), whose sum is σ = 280548126720. Its totient is φ = 24170952960.

The previous prime is 103424033129. The next prime is 103424033147. The reversal of 103424033130 is 31330424301.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 103424033130.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6528399 + ... + 6544221.

It is an arithmetic number, because the mean of its divisors is an integer number (2191782240).

Almost surely, 2103424033130 is an apocalyptic number.

103424033130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103424033130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140274063360).

103424033130 is an abundant number, since it is smaller than the sum of its proper divisors (177124093590).

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

103424033130 is a wasteful number, since it uses less digits than its factorization.

103424033130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16556.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 103424033130 its reverse (31330424301), we get a palindrome (134754457431).

The spelling of 103424033130 in words is "one hundred three billion, four hundred twenty-four million, thirty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 29 30 33 55 58 66 87 110 145 165 174 290 319 330 435 638 683 870 957 1366 1595 1914 2049 3190 3415 4098 4785 6830 7513 9570 10245 15026 15823 19807 20490 22539 31646 37565 39614 45078 47469 59421 75130 79115 94938 99035 112695 118842 158230 174053 198070 217877 225390 237345 297105 348106 435754 458867 474690 522159 594210 653631 870265 917734 1044318 1089385 1307262 1376601 1740530 2178770 2294335 2610795 2753202 3268155 4588670 5047537 5221590 6536310 6883005 10095074 10807109 13766010 15142611 21614218 25237685 30285222 32421327 50475370 54035545 64842654 75713055 108071090 118878199 151426110 162106635 237756398 313406161 324213270 356634597 594390995 626812322 713269194 940218483 1188781990 1567030805 1783172985 1880436966 3134061610 3447467771 3566345970 4701092415 6894935542 9402184830 10342403313 17237338855 20684806626 34474677710 51712016565 103424033130