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131200133310000 = 2432541457779259
BaseRepresentation
bin11101110101001101101001…
…010101110010011000110000
3122012112121110212120020200200
4131311031221111302120300
5114144040333111410000
61143012301551515200
736430616416422426
oct3565155125623060
9565477425506620
10131200133310000
1138893733967077
121286b56b228b00
135829172677141
1424581982a9116
151027c3ad18500
hex775369572630

131200133310000 has 150 divisors (see below), whose sum is σ = 458825817630180. Its totient is φ = 34986702192000.

The previous prime is 131200133309977. The next prime is 131200133310061. The reversal of 131200133310000 is 13331002131.

It is a happy number.

131200133310000 is a `hidden beast` number, since 1 + 31 + 200 + 1 + 333 + 100 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (150).

It is a super-2 number, since 2×1312001333100002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 728799630 + ... + 728979629.

Almost surely, 2131200133310000 is an apocalyptic number.

131200133310000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131200133310000 is an abundant number, since it is smaller than the sum of its proper divisors (327625684320180).

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

131200133310000 is a wasteful number, since it uses less digits than its factorization.

131200133310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1457779293 (or 1457779269 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 131200133310000 its reverse (13331002131), we get a palindrome (131213464312131).

The spelling of 131200133310000 in words is "one hundred thirty-one trillion, two hundred billion, one hundred thirty-three million, three hundred ten thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 625 720 750 900 1000 1125 1200 1250 1500 1800 1875 2000 2250 2500 3000 3600 3750 4500 5000 5625 6000 7500 9000 10000 11250 15000 18000 22500 30000 45000 90000 1457779259 2915558518 4373337777 5831117036 7288896295 8746675554 11662234072 13120013331 14577792590 17493351108 21866688885 23324468144 26240026662 29155585180 34986702216 36444481475 43733377770 52480053324 58311170360 65600066655 69973404432 72888962950 87466755540 104960106648 109333444425 116622340720 131200133310 145777925900 174933511080 182222407375 209920213296 218666888850 262400266620 291555851800 328000333275 349867022160 364444814750 437333777700 524800533240 546667222125 583111703600 656000666550 728889629500 874667555400 911112036875 1049601066480 1093334444250 1312001333100 1457779259000 1640001666375 1749335110800 1822224073750 2186668888500 2624002666200 2733336110625 2915558518000 3280003332750 3644448147500 4373337777000 5248005332400 5466672221250 6560006665500 7288896295000 8200008331875 8746675554000 10933344442500 13120013331000 14577792590000 16400016663750 21866688885000 26240026662000 32800033327500 43733377770000 65600066655000 131200133310000