Search a number
-
+
251212052442130 = 25132299535378521
BaseRepresentation
bin111001000111100111011101…
…001001100010110000010010
31012221110122012212021221010021
4321013213131021202300102
5230411324240411122010
62250141120153054054
7103625320562564143
oct7107473511426022
91187418185257107
10251212052442130
11730534845786aa
12242126b40b732a
13aa2326c263200
144606a2a305aca
151e09906a688da
hexe479dd262c12

251212052442130 has 96 divisors (see below), whose sum is σ = 507056289014160. Its totient is φ = 89462773370880.

The previous prime is 251212052442107. The next prime is 251212052442133. The reversal of 251212052442130 is 31244250212152.

It can be written as a sum of positive squares in 24 ways, for example, as 39046289182209 + 212165763259921 = 6248703^2 + 14565911^2 .

It is not an unprimeable number, because it can be changed into a prime (251212052442133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44017270 + ... + 49395790.

Almost surely, 2251212052442130 is an apocalyptic number.

251212052442130 is an abundant number, since it is smaller than the sum of its proper divisors (255844236572030).

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

251212052442130 is a wasteful number, since it uses less digits than its factorization.

251212052442130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5379536 (or 5379523 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

The spelling of 251212052442130 in words is "two hundred fifty-one trillion, two hundred twelve billion, fifty-two million, four hundred forty-two thousand, one hundred thirty".

Divisors: 1 2 5 10 13 26 29 58 65 130 145 169 290 338 377 754 845 953 1690 1885 1906 3770 4765 4901 9530 9802 12389 24505 24778 27637 49010 55274 61945 123890 138185 161057 276370 322114 359281 718562 805285 1610570 1796405 3592810 4670653 5378521 9341306 10757042 23353265 26892605 46706530 53785210 69920773 139841546 155977109 311954218 349603865 699207730 779885545 908970049 1559771090 1817940098 2027702417 4055404834 4544850245 5125730513 9089700490 10138512085 10251461026 20277024170 25628652565 26360131421 51257305130 52720262842 66634496669 131800657105 133268993338 148646184877 263601314210 297292369754 333172483345 666344966690 743230924385 866248456697 1486461848770 1732496913394 1932400403401 3864800806802 4331242283485 8662484566970 9662002017005 19324004034010 25121205244213 50242410488426 125606026221065 251212052442130