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133320012300 = 2232521039142573
BaseRepresentation
bin111110000101001111…
…1011111001000001100
3110202010022010100022100
41330022133133020030
54141014410343200
6141125114315100
712426536256336
oct1741237371014
9422108110270
10133320012300
11515a4742552
1221a08728a90
13c758972a57
14664a3b4456
15370456ad00
hex1f0a7df20c

133320012300 has 108 divisors (see below), whose sum is σ = 418289304160. Its totient is φ = 35517536640.

The previous prime is 133320012289. The next prime is 133320012317. The reversal of 133320012300 is 3210023331.

133320012300 is a `hidden beast` number, since 1 + 33 + 320 + 0 + 12 + 300 = 666.

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 35 ways as a sum of consecutive naturals, for example, 863814 + ... + 1006386.

Almost surely, 2133320012300 is an apocalyptic number.

133320012300 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 133320012300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209144652080).

133320012300 is an abundant number, since it is smaller than the sum of its proper divisors (284969291860).

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

133320012300 is a wasteful number, since it uses less digits than its factorization.

133320012300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143632 (or 143622 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 133320012300 its reverse (3210023331), we get a palindrome (136530035631).

The spelling of 133320012300 in words is "one hundred thirty-three billion, three hundred twenty million, twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 1039 2078 3117 4156 5195 6234 9351 10390 12468 15585 18702 20780 25975 31170 37404 46755 51950 62340 77925 93510 103900 142573 155850 187020 233775 285146 311700 427719 467550 570292 712865 855438 935100 1283157 1425730 1710876 2138595 2566314 2851460 3564325 4277190 5132628 6415785 7128650 8554380 10692975 12831570 14257300 21385950 25663140 32078925 42771900 64157850 128315700 148133347 296266694 444400041 592533388 740666735 888800082 1333200123 1481333470 1777600164 2222000205 2666400246 2962666940 3703333675 4444000410 5332800492 6666000615 7406667350 8888000820 11110001025 13332001230 14813334700 22220002050 26664002460 33330003075 44440004100 66660006150 133320012300