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133033304220200 = 235210745293137251
BaseRepresentation
bin11110001111111000111010…
…110101110110001000101000
3122110000212012201001020120222
4132033320322311312020220
5114414104201340021300
61150534353430305212
740010224203154466
oct3617707265661050
9573025181036528
10133033304220200
113943012007452a
1212b068b44b8208
13592cca9ba9357
1424bcbbc297836
15105a77ca4e785
hex78fe3ad76228

133033304220200 has 96 divisors (see below), whose sum is σ = 312202276659360. Its totient is φ = 52714452960000.

The previous prime is 133033304220169. The next prime is 133033304220211. The reversal of 133033304220200 is 2022403330331.

It is a self number, because there is not a number n which added to its sum of digits gives 133033304220200.

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, 969201575 + ... + 969338825.

It is an arithmetic number, because the mean of its divisors is an integer number (3252107048535).

Almost surely, 2133033304220200 is an apocalyptic number.

133033304220200 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 133033304220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156101138329680).

133033304220200 is an abundant number, since it is smaller than the sum of its proper divisors (179168972439160).

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

133033304220200 is a wasteful number, since it uses less digits than its factorization.

133033304220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182667 (or 182658 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 26.

Adding to 133033304220200 its reverse (2022403330331), we get a palindrome (135055707550531).

The spelling of 133033304220200 in words is "one hundred thirty-three trillion, thirty-three billion, three hundred four million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 107 200 214 428 535 856 1070 2140 2675 4280 5350 10700 21400 45293 90586 137251 181172 226465 274502 362344 452930 549004 686255 905860 1098008 1132325 1372510 1811720 2264650 2745020 3431275 4529300 4846351 5490040 6862550 9058600 9692702 13725100 14685857 19385404 24231755 27450200 29371714 38770808 48463510 58743428 73429285 96927020 117486856 121158775 146858570 193854040 242317550 293717140 367146425 484635100 587434280 734292850 969270200 1468585700 2937171400 6216509543 12433019086 24866038172 31082547715 49732076344 62165095430 124330190860 155412738575 248660381720 310825477150 621650954300 665166521101 1243301908600 1330333042202 2660666084404 3325832605505 5321332168808 6651665211010 13303330422020 16629163027525 26606660844040 33258326055050 66516652110100 133033304220200