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131324242000 = 2453717535351
BaseRepresentation
bin111101001001110001…
…0001110100001010000
3110112222012201201010211
41322103202032201100
54122423001221000
6140155102133504
712326223432130
oct1722342164120
9415865651124
10131324242000
1150770124806
1221550281294
13c4cb349993
1464db2daac0
1536392417ba
hex1e9388e850

131324242000 has 160 divisors (see below), whose sum is σ = 363180040704. Its totient is φ = 44991360000.

The previous prime is 131324241967. The next prime is 131324242037. The reversal of 131324242000 is 242423131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24539325 + ... + 24544675.

Almost surely, 2131324242000 is an apocalyptic number.

131324242000 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 131324242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181590020352).

131324242000 is an abundant number, since it is smaller than the sum of its proper divisors (231855798704).

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

131324242000 is a wasteful number, since it uses less digits than its factorization.

131324242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7134 (or 7118 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 131324242000 its reverse (242423131), we get a palindrome (131566665131).

The spelling of 131324242000 in words is "one hundred thirty-one billion, three hundred twenty-four million, two hundred forty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 875 1000 1400 1750 1753 2000 2800 3500 3506 5351 7000 7012 8765 10702 12271 14000 14024 17530 21404 24542 26755 28048 35060 37457 42808 43825 49084 53510 61355 70120 74914 85616 87650 98168 107020 122710 133775 140240 149828 175300 187285 196336 214040 219125 245420 267550 299656 306775 350600 374570 428080 438250 490840 535100 599312 613550 668875 701200 749140 876500 936425 981680 1070200 1227100 1337750 1498280 1533875 1753000 1872850 2140400 2454200 2675500 2996560 3067750 3506000 3745700 4682125 4908400 5351000 6135500 7491400 9364250 9380303 10702000 12271000 14982800 18728500 18760606 24542000 37457000 37521212 46901515 65662121 74914000 75042424 93803030 131324242 150084848 187606060 234507575 262648484 328310605 375212120 469015150 525296968 656621210 750424240 938030300 1050593936 1172537875 1313242420 1641553025 1876060600 2345075750 2626484840 3283106050 3752121200 4690151500 5252969680 6566212100 8207765125 9380303000 13132424200 16415530250 18760606000 26264848400 32831060500 65662121000 131324242000