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135411263325 = 335213149103567
BaseRepresentation
bin111111000011100100…
…0111110011101011101
3110221112001011220102000
41332013020332131131
54204310240411300
6142112421152513
712532421514162
oct1760710763535
9427461156360
10135411263325
1152478145388
12222b0b5b739
13c9cccb95b0
1467a8024069
1537c7e55c00
hex1f8723e75d

135411263325 has 96 divisors (see below), whose sum is σ = 269691072000. Its totient is φ = 66215957760.

The previous prime is 135411263291. The next prime is 135411263329. The reversal of 135411263325 is 523362114531.

135411263325 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 1 + 12 + 633 + 2 + 5 = 666.

It is not a de Polignac number, because 135411263325 - 211 = 135411261277 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 135411263325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135411263329) 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 95 ways as a sum of consecutive naturals, for example, 1255692 + ... + 1359258.

It is an arithmetic number, because the mean of its divisors is an integer number (2809282000).

Almost surely, 2135411263325 is an apocalyptic number.

135411263325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135411263325 is a deficient number, since it is larger than the sum of its proper divisors (134279808675).

135411263325 is a wasteful number, since it uses less digits than its factorization.

135411263325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103748 (or 103737 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

Adding to 135411263325 its reverse (523362114531), we get a palindrome (658773377856).

The spelling of 135411263325 in words is "one hundred thirty-five billion, four hundred eleven million, two hundred sixty-three thousand, three hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 27 39 45 65 75 117 135 149 195 225 325 351 447 585 675 745 975 1341 1755 1937 2235 2925 3725 4023 5811 6705 8775 9685 11175 17433 20115 29055 33525 48425 52299 87165 100575 103567 145275 261495 310701 435825 517835 932103 1307475 1346371 1553505 2589175 2796309 4039113 4660515 6731855 7767525 12117339 13981545 15431483 20195565 23302575 33659275 36352017 46294449 60586695 69907725 77157415 100977825 138883347 181760085 200609279 231472245 302933475 385787075 416650041 601827837 694416735 908800425 1003046395 1157361225 1805483511 2083250205 3009139185 3472083675 5015231975 5416450533 9027417555 10416251025 15045695925 27082252665 45137087775 135411263325