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33133242000 = 243536782421
BaseRepresentation
bin11110110110111001…
…010010011010010000
310011112010001002101010
4132312321102122100
51020324102221000
623115440210520
72252033624115
oct366671223220
9104463032333
1033133242000
1113062940131
126508309a40
13318055b951
14186461690c
15cddc3bd50
hex7b6e52690

33133242000 has 160 divisors (see below), whose sum is σ = 108417239424. Its totient is φ = 8703552000.

The previous prime is 33133241993. The next prime is 33133242011. The reversal of 33133242000 is 24233133.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 360790 + ... + 443210.

Almost surely, 233133242000 is an apocalyptic number.

33133242000 is a gapful number since it is divisible by the number (30) 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 33133242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54208619712).

33133242000 is an abundant number, since it is smaller than the sum of its proper divisors (75283997424).

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

33133242000 is a wasteful number, since it uses less digits than its factorization.

33133242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82514 (or 82498 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 33133242000 its reverse (24233133), we get a palindrome (33157475133).

The spelling of 33133242000 in words is "thirty-three billion, one hundred thirty-three million, two hundred forty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 67 75 80 100 120 125 134 150 200 201 240 250 268 300 335 375 400 402 500 536 600 670 750 804 1000 1005 1072 1200 1340 1500 1608 1675 2000 2010 2680 3000 3216 3350 4020 5025 5360 6000 6700 8040 8375 10050 13400 16080 16750 20100 25125 26800 33500 40200 50250 67000 80400 82421 100500 134000 164842 201000 247263 329684 402000 412105 494526 659368 824210 989052 1236315 1318736 1648420 1978104 2060525 2472630 3296840 3956208 4121050 4945260 5522207 6181575 6593680 8242100 9890520 10302625 11044414 12363150 16484200 16566621 19781040 20605250 22088828 24726300 27611035 30907875 32968400 33133242 41210500 44177656 49452600 55222070 61815750 66266484 82421000 82833105 88355312 98905200 110444140 123631500 132532968 138055175 164842000 165666210 220888280 247263000 265065936 276110350 331332420 414165525 441776560 494526000 552220700 662664840 690275875 828331050 1104441400 1325329680 1380551750 1656662100 2070827625 2208882800 2761103500 3313324200 4141655250 5522207000 6626648400 8283310500 11044414000 16566621000 33133242000