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2133313043000 = 235323486119081
BaseRepresentation
bin11111000010110011010…
…111011011101000111000
321112221110020212010012012
4133002303113123220320
5234423011114334000
64312010330105052
7310061325446636
oct37026327335070
97487406763165
102133313043000
11752807663187
122a554a27b188
1312622a936b79
1475377d6c356
153a75bb1d735
hex1f0b35dba38

2133313043000 has 128 divisors (see below), whose sum is σ = 5210338573440. Its totient is φ = 816013440000.

The previous prime is 2133313042957. The next prime is 2133313043009. The reversal of 2133313043000 is 3403133312.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133313043009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111793460 + ... + 111812540.

It is an arithmetic number, because the mean of its divisors is an integer number (40705770105).

Almost surely, 22133313043000 is an apocalyptic number.

2133313043000 is a gapful number since it is divisible by the number (20) 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 2133313043000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2605169286720).

2133313043000 is an abundant number, since it is smaller than the sum of its proper divisors (3077025530440).

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

2133313043000 is a wasteful number, since it uses less digits than its factorization.

2133313043000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23986 (or 23972 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 2133313043000 its reverse (3403133312), we get a palindrome (2136716176312).

The spelling of 2133313043000 in words is "two trillion, one hundred thirty-three billion, three hundred thirteen million, forty-three thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 125 184 200 230 250 460 500 575 920 1000 1150 2300 2875 4600 4861 5750 9722 11500 19081 19444 23000 24305 38162 38888 48610 76324 95405 97220 111803 121525 152648 190810 194440 223606 243050 381620 438863 447212 477025 486100 559015 607625 763240 877726 894424 954050 972200 1118030 1215250 1755452 1908100 2194315 2236060 2385125 2430500 2795075 3510904 3816200 4388630 4472120 4770250 4861000 5590150 8777260 9540500 10971575 11180300 13975375 17554520 19081000 21943150 22360600 27950750 43886300 54857875 55901500 87772600 92752741 109715750 111803000 185505482 219431500 371010964 438863000 463763705 742021928 927527410 1855054820 2133313043 2318818525 3710109640 4266626086 4637637050 8533252172 9275274100 10666565215 11594092625 17066504344 18550548200 21333130430 23188185250 42666260860 46376370500 53332826075 85332521720 92752741000 106665652150 213331304300 266664130375 426662608600 533328260750 1066656521500 2133313043000