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131322410000 = 245423570967
BaseRepresentation
bin111101001001101101…
…1001111010000010000
3110112222002021122002222
41322103123033100100
54122422014110000
6140154555000212
712326202032045
oct1722333172020
9415862248088
10131322410000
115076a093361
122154b739068
13c4cab57b62
1464dad811cc
153638ecda85
hex1e936cf410

131322410000 has 100 divisors (see below), whose sum is σ = 331768949952. Its totient is φ = 50245008000.

The previous prime is 131322409997. The next prime is 131322410003. The reversal of 131322410000 is 14223131.

It is an interprime number because it is at equal distance from previous prime (131322409997) and next prime (131322410003).

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (131322410003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 55484 + ... + 515483.

Almost surely, 2131322410000 is an apocalyptic number.

131322410000 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 131322410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165884474976).

131322410000 is an abundant number, since it is smaller than the sum of its proper divisors (200446539952).

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

131322410000 is an equidigital number, since it uses as much as digits as its factorization.

131322410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571018 (or 570997 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 131322410000 its reverse (14223131), we get a palindrome (131336633131).

The spelling of 131322410000 in words is "one hundred thirty-one billion, three hundred twenty-two million, four hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 125 184 200 230 250 368 400 460 500 575 625 920 1000 1150 1250 1840 2000 2300 2500 2875 4600 5000 5750 9200 10000 11500 14375 23000 28750 46000 57500 115000 230000 570967 1141934 2283868 2854835 4567736 5709670 9135472 11419340 13132241 14274175 22838680 26264482 28548350 45677360 52528964 57096700 65661205 71370875 105057928 114193400 131322410 142741750 210115856 228386800 262644820 285483500 328306025 356854375 525289640 570967000 656612050 713708750 1050579280 1141934000 1313224100 1427417500 1641530125 2626448200 2854835000 3283060250 5252896400 5709670000 6566120500 8207650625 13132241000 16415301250 26264482000 32830602500 65661205000 131322410000