Search a number
-
+
513322031151231 = 36433203465117863
BaseRepresentation
bin111010010110111010001100…
…1010100100111100001111111
32111022112002212221111122101020
41310231310121110213201333
51014240232004433314411
65015424515143315223
7213060202314362361
oct16455643124474177
92438462787448336
10513322031151231
11139618718341865
12496a52b974bb13
13190570a15b8963
1490a8cc1552d31
153e52a3d977606
hex1d2dd1952787f

513322031151231 has 32 divisors (see below), whose sum is σ = 685893650061312. Its totient is φ = 341483236754400.

The previous prime is 513322031151169. The next prime is 513322031151233. The reversal of 513322031151231 is 132151130223315.

It is a happy number.

It is not a de Polignac number, because 513322031151231 - 238 = 513047153244287 is a prime.

It is a super-2 number, since 2×5133220311512312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 513322031151192 and 513322031151201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513322031151233) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28736599206 + ... + 28736617068.

It is an arithmetic number, because the mean of its divisors is an integer number (21434176564416).

Almost surely, 2513322031151231 is an apocalyptic number.

513322031151231 is a deficient number, since it is larger than the sum of its proper divisors (172571618910081).

513322031151231 is a wasteful number, since it uses less digits than its factorization.

513322031151231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26363.

The product of its (nonzero) digits is 16200, while the sum is 33.

Adding to 513322031151231 its reverse (132151130223315), we get a palindrome (645473161374546).

The spelling of 513322031151231 in words is "five hundred thirteen trillion, three hundred twenty-two billion, thirty-one million, one hundred fifty-one thousand, two hundred thirty-one".

Divisors: 1 3 643 1929 3203 4651 9609 13953 17863 53589 2059529 2990593 6178587 8971779 11485909 14897153 34457727 44691459 57215189 83080813 171645567 249242439 9578869379 28736608137 36789366527 53420962759 110368099581 160262888277 266107844039 798323532117 171107343717077 513322031151231