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133023333120 = 283573474541
BaseRepresentation
bin111101111100011001…
…1101111101100000000
3110201100121212110222120
41323320303233230000
54134412433124440
6141035435404240
712416304450426
oct1737063575400
9421317773876
10133023333120
1151462227047
12219452b3680
13c70c368642
14661cc27116
1536d84b5dd0
hex1ef8cefb00

133023333120 has 144 divisors (see below), whose sum is σ = 430663948512. Its totient is φ = 34986885120.

The previous prime is 133023333089. The next prime is 133023333137. The reversal of 133023333120 is 21333320331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43050 + ... + 517590.

Almost surely, 2133023333120 is an apocalyptic number.

133023333120 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 133023333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215331974256).

133023333120 is an abundant number, since it is smaller than the sum of its proper divisors (297640615392).

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

133023333120 is an equidigital number, since it uses as much as digits as its factorization.

133023333120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474638 (or 474624 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 133023333120 its reverse (21333320331), we get a palindrome (154356653451).

The spelling of 133023333120 in words is "one hundred thirty-three billion, twenty-three million, three hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 73 80 96 120 128 146 160 192 219 240 256 292 320 365 384 438 480 584 640 730 768 876 960 1095 1168 1280 1460 1752 1920 2190 2336 2920 3504 3840 4380 4672 5840 7008 8760 9344 11680 14016 17520 18688 23360 28032 35040 46720 56064 70080 93440 140160 280320 474541 949082 1423623 1898164 2372705 2847246 3796328 4745410 5694492 7118115 7592656 9490820 11388984 14236230 15185312 18981640 22777968 28472460 30370624 34641493 37963280 45555936 56944920 60741248 69282986 75926560 91111872 103924479 113889840 121482496 138565972 151853120 173207465 182223744 207848958 227779680 277131944 303706240 346414930 364447488 415697916 455559360 519622395 554263888 607412480 692829860 831395832 911118720 1039244790 1108527776 1385659720 1662791664 1822237440 2078489580 2217055552 2771319440 3325583328 4156979160 4434111104 5542638880 6651166656 8313958320 8868222208 11085277760 13302333312 16627916640 22170555520 26604666624 33255833280 44341111040 66511666560 133023333120