Search a number
-
+
534103043200511 = 2961107151191227431
BaseRepresentation
bin111100101110000111000111…
…0001010011101010111111111
32121001002202022101221001101112
41321130032032022131113333
51030001221013024404021
65131535314544232235
7220333446212326361
oct17134161612352777
92531082271831345
10534103043200511
111451aa912938134
124baa08b860b67b
1319c03915a39b55
1495c6a22016d31
1541b33a4b45d5b
hex1e5c38e29d5ff

534103043200511 has 128 divisors (see below), whose sum is σ = 577431019192320. Its totient is φ = 493215710400000.

The previous prime is 534103043200487. The next prime is 534103043200547. The reversal of 534103043200511 is 115002340301435.

It is a cyclic number.

It is not a de Polignac number, because 534103043200511 - 226 = 534102976091647 is a prime.

It is a super-2 number, since 2×5341030432005112 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (534103043260511) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1239218197466 + ... + 1239218197896.

It is an arithmetic number, because the mean of its divisors is an integer number (4511179837440).

Almost surely, 2534103043200511 is an apocalyptic number.

534103043200511 is a deficient number, since it is larger than the sum of its proper divisors (43327975991809).

534103043200511 is a wasteful number, since it uses less digits than its factorization.

534103043200511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1197.

The product of its (nonzero) digits is 21600, while the sum is 32.

Adding to 534103043200511 its reverse (115002340301435), we get a palindrome (649105383501946).

The spelling of 534103043200511 in words is "five hundred thirty-four trillion, one hundred three billion, forty-three million, two hundred thousand, five hundred eleven".

Divisors: 1 29 61 107 151 191 227 431 1769 3103 4379 5539 6527 6583 9211 11651 12499 13847 16157 20437 24289 26291 28841 34277 43357 46117 65081 82321 97837 189283 267119 337879 401563 468553 592673 704381 762439 836389 985577 994033 1246657 1257353 1337393 1481629 1759301 1887349 2090897 2387309 2644777 2813137 2837273 3085987 3667639 3969941 4639199 5021581 5968057 6546907 6963667 8808347 10468559 12430471 14773387 18686867 28581733 36153053 42967241 51019729 60636013 76698533 81580973 89493623 106361531 115128289 134536771 145625849 173073653 188245207 189860303 201946343 223725979 255442063 282991139 303588211 360483659 399361327 424783687 428428223 537309167 541919143 638582099 700519049 758258731 901176607 1139898887 1330060397 1580752409 1999494769 2821716917 5459111003 6488053391 8206743031 11581478483 12318726923 15581965843 18518880871 20315052421 21989503199 26134121603 33057067723 38571751513 42731661989 45841819861 57985348301 81133684217 81829790593 96425896949 121969180909 172124731937 301923710119 1239218197681 2352876842293 2796351011521 3537106246361 4991617226173 8755787593451 18417346317259 534103043200511