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131233231200 = 25352521104953
BaseRepresentation
bin111101000111000011…
…1000011000101100000
3110112201212110212210110
41322032013003011200
54122231201344300
6140142051331320
712324040026411
oct1721607030540
9415655425713
10131233231200
1150723812a75
12215258b0b40
13c4b5532936
1464cd1a9808
153631265550
hex1e8e1c3160

131233231200 has 144 divisors (see below), whose sum is σ = 427988138256. Its totient is φ = 34928025600.

The previous prime is 131233231123. The next prime is 131233231201. The reversal of 131233231200 is 2132332131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131233231201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1197924 + ... + 1302876.

It is an arithmetic number, because the mean of its divisors is an integer number (2972139849).

Almost surely, 2131233231200 is an apocalyptic number.

131233231200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131233231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213994069128).

131233231200 is an abundant number, since it is smaller than the sum of its proper divisors (296754907056).

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

131233231200 is a wasteful number, since it uses less digits than its factorization.

131233231200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105497 (or 105484 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 131233231200 its reverse (2132332131), we get a palindrome (133365563331).

The spelling of 131233231200 in words is "one hundred thirty-one billion, two hundred thirty-three million, two hundred thirty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 521 600 800 1042 1200 1563 2084 2400 2605 3126 4168 5210 6252 7815 8336 10420 12504 13025 15630 16672 20840 25008 26050 31260 39075 41680 50016 52100 62520 78150 83360 104200 104953 125040 156300 208400 209906 250080 312600 314859 416800 419812 524765 625200 629718 839624 1049530 1250400 1259436 1574295 1679248 2099060 2518872 2623825 3148590 3358496 4198120 5037744 5247650 6297180 7871475 8396240 10075488 10495300 12594360 15742950 16792480 20990600 25188720 31485900 41981200 50377440 54680513 62971800 83962400 109361026 125943600 164041539 218722052 251887200 273402565 328083078 437444104 546805130 656166156 820207695 874888208 1093610260 1312332312 1367012825 1640415390 1749776416 2187220520 2624664624 2734025650 3280830780 4101038475 4374441040 5249329248 5468051300 6561661560 8202076950 8748882080 10936102600 13123323120 16404153900 21872205200 26246646240 32808307800 43744410400 65616615600 131233231200