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131128888 = 2311172337103
BaseRepresentation
bin1111101000011…
…01111000111000
3100010202001000111
413310031320320
5232032111023
621002314104
73151401652
oct764157070
9303661014
10131128888
1168023090
1237ab8934
1321222577
14135b56d2
15b7a300d
hex7d0de38

131128888 has 128 divisors (see below), whose sum is σ = 307307520. Its totient is φ = 51701760.

The previous prime is 131128883. The next prime is 131128909. The reversal of 131128888 is 888821131.

It is a self number, because there is not a number n which added to its sum of digits gives 131128888.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131128883) 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, 1273045 + ... + 1273147.

It is an arithmetic number, because the mean of its divisors is an integer number (2400840).

Almost surely, 2131128888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131128888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153653760).

131128888 is an abundant number, since it is smaller than the sum of its proper divisors (176178632).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131128888 is a wasteful number, since it uses less digits than its factorization.

131128888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 193 counting only the distinct ones).

The product of its digits is 24576, while the sum is 40.

The square root of 131128888 is about 11451.1522564325. The cubic root of 131128888 is about 508.0418156415.

The spelling of 131128888 in words is "one hundred thirty-one million, one hundred twenty-eight thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 11 17 22 23 34 37 44 46 68 74 88 92 103 136 148 184 187 206 253 296 374 391 407 412 506 629 748 782 814 824 851 1012 1133 1258 1496 1564 1628 1702 1751 2024 2266 2369 2516 3128 3256 3404 3502 3811 4301 4532 4738 5032 6808 6919 7004 7622 8602 9064 9361 9476 13838 14008 14467 15244 17204 18722 18952 19261 26059 27676 28934 30488 34408 37444 38522 40273 41921 52118 55352 57868 64787 74888 77044 80546 83842 87653 104236 115736 129574 154088 159137 161092 167684 175306 208472 259148 318274 322184 335368 350612 443003 518296 636548 701224 712657 886006 964183 1273096 1425314 1490101 1772012 1928366 2850628 2980202 3544024 3856732 5701256 5960404 7713464 11920808 16391111 32782222 65564444 131128888