Search a number
-
+
10131540463 = 114171316403
BaseRepresentation
bin10010110111110001…
…10000100111101111
3222011002021120201101
421123320300213233
5131222133243323
64353202023531
7506032446562
oct113370604757
928132246641
1010131540463
114329a99340
121b69047ba7
13c56025175
146c18044d9
153e46e2dad
hex25be309ef

10131540463 has 16 divisors (see below), whose sum is σ = 11481668352. Its totient is φ = 8859256000.

The previous prime is 10131540451. The next prime is 10131540479. The reversal of 10131540463 is 36404513101.

10131540463 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10131540463 - 25 = 10131540431 is a prime.

It is a super-2 number, since 2×101315404632 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131540493) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126181 + ... + 190222.

It is an arithmetic number, because the mean of its divisors is an integer number (717604272).

Almost surely, 210131540463 is an apocalyptic number.

10131540463 is a deficient number, since it is larger than the sum of its proper divisors (1350127889).

10131540463 is a wasteful number, since it uses less digits than its factorization.

10131540463 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316526.

The product of its (nonzero) digits is 4320, while the sum is 28.

It can be divided in two parts, 101315 and 40463, that added together give a triangular number (141778 = T532).

The spelling of 10131540463 in words is "ten billion, one hundred thirty-one million, five hundred forty thousand, four hundred sixty-three".

Divisors: 1 11 41 71 451 781 2911 32021 316403 3480433 12972523 22464613 142697753 247110743 921049133 10131540463