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505122005130 = 235233124197987
BaseRepresentation
bin1110101100110111001…
…11100010000010001010
31210021210211011112101020
413112123213202002022
531233442213131010
61024014433333310
751331252126041
oct7263347420212
91707724145336
10505122005130
11185248226796
1281a90407236
133882c356142
141a63b5a3558
15d215639470
hex759b9e208a

505122005130 has 128 divisors (see below), whose sum is σ = 1311239356416. Its totient is φ = 124167859200.

The previous prime is 505122005123. The next prime is 505122005177. The reversal of 505122005130 is 31500221505.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 505122005130.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 5105997 + ... + 5203983.

It is an arithmetic number, because the mean of its divisors is an integer number (10244057472).

Almost surely, 2505122005130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505122005130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655619678208).

505122005130 is an abundant number, since it is smaller than the sum of its proper divisors (806117351286).

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

505122005130 is a wasteful number, since it uses less digits than its factorization.

505122005130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98292.

The product of its (nonzero) digits is 1500, while the sum is 24.

Adding to 505122005130 its reverse (31500221505), we get a palindrome (536622226635).

The spelling of 505122005130 in words is "five hundred five billion, one hundred twenty-two million, five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 31 46 62 69 93 115 138 155 186 230 241 310 345 465 482 690 713 723 930 1205 1426 1446 2139 2410 3565 3615 4278 5543 7130 7230 7471 10695 11086 14942 16629 21390 22413 27715 33258 37355 44826 55430 74710 83145 97987 112065 166290 171833 195974 224130 293961 343666 489935 515499 587922 859165 979870 1030998 1469805 1718330 2253701 2577495 2939610 3037597 4507402 5154990 6075194 6761103 9112791 11268505 13522206 15187985 18225582 22537010 23614867 30375970 33805515 45563955 47229734 67611030 69864731 70844601 91127910 118074335 139729462 141689202 209594193 236148670 349323655 354223005 419188386 543141941 698647310 708446010 732060877 1047970965 1086283882 1464121754 1629425823 2095941930 2196182631 2715709705 3258851646 3660304385 4392365262 5431419410 7320608770 8147129115 10980913155 16294258230 16837400171 21961826310 33674800342 50512200513 84187000855 101024401026 168374001710 252561002565 505122005130