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133201120200 = 2335289228027
BaseRepresentation
bin111110000001101100…
…1111100101111001000
3110201211000102000000020
41330003121330233020
54140243441321300
6141105230140440
712423563561211
oct1740331745710
9421730360006
10133201120200
1151543618115
1221994951720
13c73a1461b5
1466386a6408
1536e8dd38a0
hex1f0367cbc8

133201120200 has 144 divisors (see below), whose sum is σ = 417630092880. Its totient is φ = 35119941120.

The previous prime is 133201120183. The next prime is 133201120201. The reversal of 133201120200 is 2021102331.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 133201120200.

It is not an unprimeable number, because it can be changed into a prime (133201120201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4738587 + ... + 4766613.

Almost surely, 2133201120200 is an apocalyptic number.

133201120200 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 133201120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208815046440).

133201120200 is an abundant number, since it is smaller than the sum of its proper divisors (284428972680).

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

133201120200 is a wasteful number, since it uses less digits than its factorization.

133201120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28224 (or 28126 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 133201120200 its reverse (2021102331), we get a palindrome (135222222531).

The spelling of 133201120200 in words is "one hundred thirty-three billion, two hundred one million, one hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 89 100 120 150 178 200 267 300 356 445 534 600 712 890 1068 1335 1780 2136 2225 2670 3560 4450 5340 6675 7921 8900 10680 13350 15842 17800 23763 26700 28027 31684 39605 47526 53400 56054 63368 79210 84081 95052 112108 118815 140135 158420 168162 190104 198025 224216 237630 280270 316840 336324 396050 420405 475260 560540 594075 672648 700675 792100 840810 950520 1121080 1188150 1401350 1584200 1681620 2102025 2376300 2494403 2802700 3363240 4204050 4752600 4988806 5605400 7483209 8408100 9977612 12472015 14966418 16816200 19955224 24944030 29932836 37416045 49888060 59865672 62360075 74832090 99776120 124720150 149664180 187080225 222001867 249440300 299328360 374160450 444003734 498880600 666005601 748320900 888007468 1110009335 1332011202 1496641800 1776014936 2220018670 2664022404 3330028005 4440037340 5328044808 5550046675 6660056010 8880074680 11100093350 13320112020 16650140025 22200186700 26640224040 33300280050 44400373400 66600560100 133201120200