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131237682000 = 2435321872947
BaseRepresentation
bin111101000111001100…
…0000001101101010000
3110112202011212000010220
41322032120001231100
54122233321311000
6140142330553040
712324122614455
oct1721630015520
9415664760126
10131237682000
1150726282a17
1221527298780
13c4b6430749
1464cda0782c
1536318441a0
hex1e8e601b50

131237682000 has 80 divisors (see below), whose sum is σ = 423110306112. Its totient is φ = 34996713600.

The previous prime is 131237681867. The next prime is 131237682007. The reversal of 131237682000 is 286732131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131237682007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10930474 + ... + 10942473.

Almost surely, 2131237682000 is an apocalyptic number.

131237682000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131237682000 is an abundant number, since it is smaller than the sum of its proper divisors (291872624112).

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

131237682000 is a wasteful number, since it uses less digits than its factorization.

131237682000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21872973 (or 21872957 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 131237682000 in words is "one hundred thirty-one billion, two hundred thirty-seven million, six hundred eighty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 21872947 43745894 65618841 87491788 109364735 131237682 174983576 218729470 262475364 328094205 349967152 437458940 524950728 546823675 656188410 874917880 1049901456 1093647350 1312376820 1640471025 1749835760 2187294700 2624753640 2734118375 3280942050 4374589400 5249507280 5468236750 6561884100 8202355125 8749178800 10936473500 13123768200 16404710250 21872947000 26247536400 32809420500 43745894000 65618841000 131237682000