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133201012000 = 255372679597
BaseRepresentation
bin111110000001101100…
…1100010010100100000
3110201211000012111120211
41330003121202110200
54140243424341000
6141105223543504
712423562630600
oct1740331422440
9421730174524
10133201012000
11515435538a1
12219948bab94
13c73a108b84
146638678c00
1536e8db17ba
hex1f03662520

133201012000 has 144 divisors (see below), whose sum is σ = 380708081208. Its totient is φ = 45668851200.

The previous prime is 133201011959. The next prime is 133201012031. The reversal of 133201012000 is 210102331.

It can be written as a sum of positive squares in 4 ways, for example, as 75310727184 + 57890284816 = 274428^2 + 240604^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143799 + ... + 535798.

Almost surely, 2133201012000 is an apocalyptic number.

133201012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133201012000 is an abundant number, since it is smaller than the sum of its proper divisors (247507069208).

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

133201012000 is an equidigital number, since it uses as much as digits as its factorization.

133201012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679636 (or 679611 counting only the distinct ones).

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

Adding to 133201012000 its reverse (210102331), we get a palindrome (133411114331).

The spelling of 133201012000 in words is "one hundred thirty-three billion, two hundred one million, twelve thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 70 80 98 100 112 125 140 160 175 196 200 224 245 250 280 350 392 400 490 500 560 700 784 800 875 980 1000 1120 1225 1400 1568 1750 1960 2000 2450 2800 3500 3920 4000 4900 5600 6125 7000 7840 9800 12250 14000 19600 24500 28000 39200 49000 98000 196000 679597 1359194 2718388 3397985 4757179 5436776 6795970 9514358 10873552 13591940 16989925 19028716 21747104 23785895 27183880 33300253 33979850 38057432 47571790 54367760 66600506 67959700 76114864 84949625 95143580 108735520 118929475 133201012 135919400 152229728 166501265 169899250 190287160 237858950 266402024 271838800 333002530 339798500 380574320 475717900 532804048 543677600 594647375 666005060 679597000 761148640 832506325 951435800 1065608096 1189294750 1332010120 1359194000 1665012650 1902871600 2378589500 2664020240 2718388000 3330025300 3805743200 4162531625 4757179000 5328040480 6660050600 8325063250 9514358000 13320101200 16650126500 19028716000 26640202400 33300253000 66600506000 133201012000