Search a number
-
+
135258852531 = 31137711560241
BaseRepresentation
bin111110111111000001…
…1100100110010110011
3110221010102101122002210
41331332003210302303
54204002231240111
6142045334343203
712525561163635
oct1757603446263
9427112348083
10135258852531
11523aa106950
1222269abab03
13c9a75552aa
146791aaca55
1537b989c0a6
hex1f7e0e4cb3

135258852531 has 32 divisors (see below), whose sum is σ = 204903461376. Its totient is φ = 78636096000.

The previous prime is 135258852503. The next prime is 135258852539.

135258852531 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 135258852531 - 25 = 135258852499 is a prime.

It is a super-2 number, since 2×1352588525312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135258852539) 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, 693430 + ... + 866811.

It is an arithmetic number, because the mean of its divisors is an integer number (6403233168).

Almost surely, 2135258852531 is an apocalyptic number.

135258852531 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

135258852531 is a deficient number, since it is larger than the sum of its proper divisors (69644608845).

135258852531 is a wasteful number, since it uses less digits than its factorization.

135258852531 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1560363.

The product of its digits is 1440000, while the sum is 48.

It can be divided in two parts, 135258 and 852531, that added together give a palindrome (987789).

The spelling of 135258852531 in words is "one hundred thirty-five billion, two hundred fifty-eight million, eight hundred fifty-two thousand, five hundred thirty-one".

Divisors: 1 3 11 33 37 71 111 213 407 781 1221 2343 2627 7881 28897 86691 1560241 4680723 17162651 51487953 57728917 110777111 173186751 332331333 635018087 1218548221 1905054261 3655644663 4098753107 12296259321 45086284177 135258852531