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133110300000 = 25355443701
BaseRepresentation
bin111101111110111111…
…1011111110101100000
3110201120200111212010010
41323331333133311200
54140102214100000
6141052223404520
712421411611246
oct1737577376540
9421520455103
10133110300000
11514a73265a7
122196a453740
13c724397b32
14662a5c4796
1536e0e43d50
hex1efdfdfd60

133110300000 has 144 divisors (see below), whose sum is σ = 436741203024. Its totient is φ = 35496000000.

The previous prime is 133110299983. The next prime is 133110300007. The reversal of 133110300000 is 3011331.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133110300007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78150 + ... + 521850.

It is an arithmetic number, because the mean of its divisors is an integer number (3032925021).

Almost surely, 2133110300000 is an apocalyptic number.

133110300000 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 133110300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218370601512).

133110300000 is an abundant number, since it is smaller than the sum of its proper divisors (303630903024).

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

133110300000 is an frugal number, since it uses more digits than its factorization.

133110300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443739 (or 443711 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 133110300000 its reverse (3011331), we get a palindrome (133113311331).

The spelling of 133110300000 in words is "one hundred thirty-three billion, one hundred ten million, three hundred thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3125 3750 4000 5000 6000 6250 7500 9375 10000 12000 12500 15000 18750 20000 25000 30000 37500 50000 60000 75000 100000 150000 300000 443701 887402 1331103 1774804 2218505 2662206 3549608 4437010 5324412 6655515 7099216 8874020 10648824 11092525 13311030 14198432 17748040 21297648 22185050 26622060 33277575 35496080 42595296 44370100 53244120 55462625 66555150 70992160 88740200 106488240 110925250 133110300 166387875 177480400 212976480 221850500 266220600 277313125 332775750 354960800 443701000 532441200 554626250 665551500 831939375 887402000 1064882400 1109252500 1331103000 1386565625 1663878750 1774804000 2218505000 2662206000 2773131250 3327757500 4159696875 4437010000 5324412000 5546262500 6655515000 8319393750 8874020000 11092525000 13311030000 16638787500 22185050000 26622060000 33277575000 44370100000 66555150000 133110300000