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131141340213000 = 23353133362598467
BaseRepresentation
bin11101110100010110111000…
…111111111010111100001000
3122012022222201110222110121120
4131310112320333322330020
5114142104431043304000
61142525255555435240
736423435443353365
oct3564267077727410
9565288643873546
10131141340213000
1138870803780107
12128600a15b5b20
135823762c8a450
1424553bbc2146c
1510264495166a0
hex7745b8ffaf08

131141340213000 has 128 divisors (see below), whose sum is σ = 440634903246720. Its totient is φ = 32280945273600.

The previous prime is 131141340212957. The next prime is 131141340213001. The reversal of 131141340213000 is 312043141131.

It is a happy number.

It is a super-2 number, since 2×1311413402130002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (131141340213001) 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, 1681260234 + ... + 1681338233.

It is an arithmetic number, because the mean of its divisors is an integer number (3442460181615).

Almost surely, 2131141340213000 is an apocalyptic number.

131141340213000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131141340213000 is an abundant number, since it is smaller than the sum of its proper divisors (309493563033720).

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

131141340213000 is a wasteful number, since it uses less digits than its factorization.

131141340213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3362598504 (or 3362598490 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 131141340213000 its reverse (312043141131), we get a palindrome (131453383354131).

The spelling of 131141340213000 in words is "one hundred thirty-one trillion, one hundred forty-one billion, three hundred forty million, two hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 125 130 150 156 195 200 250 260 300 312 325 375 390 500 520 600 650 750 780 975 1000 1300 1500 1560 1625 1950 2600 3000 3250 3900 4875 6500 7800 9750 13000 19500 39000 3362598467 6725196934 10087795401 13450393868 16812992335 20175590802 26900787736 33625984670 40351181604 43713780071 50438977005 67251969340 80702363208 84064961675 87427560142 100877954010 131141340213 134503938680 168129923350 174855120284 201755908020 218568900355 252194885025 262282680426 336259846700 349710240568 403511816040 420324808375 437137800710 504389770050 524565360852 655706701065 672519693400 840649616750 874275601420 1008779540100 1049130721704 1092844501775 1260974425125 1311413402130 1681299233500 1748551202840 2017559080200 2185689003550 2521948850250 2622826804260 3278533505325 3362598467000 4371378007100 5043897700500 5245653608520 5464222508875 6557067010650 8742756014200 10087795401000 10928445017750 13114134021300 16392667526625 21856890035500 26228268042600 32785335053250 43713780071000 65570670106500 131141340213000