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131401030000 = 245429453107
BaseRepresentation
bin111101001100000011…
…1001001100101110000
3110120011120012221110211
41322120013021211300
54123102130430000
6140210444033504
712331145216632
oct1723007114560
9416146187424
10131401030000
11507aa501769
1221571b32894
13c511224076
1465075a8a52
153640d5d7ba
hex1e981c9970

131401030000 has 100 divisors (see below), whose sum is σ = 329105933640. Its totient is φ = 50747872000.

The previous prime is 131401029979. The next prime is 131401030021. The reversal of 131401030000 is 30104131.

It is an interprime number because it is at equal distance from previous prime (131401029979) and next prime (131401030021).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 63447 + ... + 516553.

Almost surely, 2131401030000 is an apocalyptic number.

131401030000 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 131401030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164552966820).

131401030000 is an abundant number, since it is smaller than the sum of its proper divisors (197704903640).

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

131401030000 is an equidigital number, since it uses as much as digits as its factorization.

131401030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453164 (or 453143 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 131401030000 its reverse (30104131), we get a palindrome (131431134131).

The spelling of 131401030000 in words is "one hundred thirty-one billion, four hundred one million, thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 125 145 200 232 250 290 400 464 500 580 625 725 1000 1160 1250 1450 2000 2320 2500 2900 3625 5000 5800 7250 10000 11600 14500 18125 29000 36250 58000 72500 145000 290000 453107 906214 1812428 2265535 3624856 4531070 7249712 9062140 11327675 13140103 18124280 22655350 26280206 36248560 45310700 52560412 56638375 65700515 90621400 105120824 113276750 131401030 181242800 210241648 226553500 262802060 283191875 328502575 453107000 525604120 566383750 657005150 906214000 1051208240 1132767500 1314010300 1642512875 2265535000 2628020600 3285025750 4531070000 5256041200 6570051500 8212564375 13140103000 16425128750 26280206000 32850257500 65700515000 131401030000