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2000123121330 = 2325131792721401
BaseRepresentation
bin11101000110110000101…
…000001100111010110010
321002012200000112001200100
4131012300220030322302
5230232223004340310
64130502135533230
7264334626006255
oct35066050147262
97065600461610
102000123121330
1170127a3a4754
1228377922a216
131167c2c11c29
146cb40d7d09c
1537063becec0
hex1d1b0a0ceb2

2000123121330 has 96 divisors (see below), whose sum is σ = 5240923129728. Its totient is φ = 529203168000.

The previous prime is 2000123121329. The next prime is 2000123121377. The reversal of 2000123121330 is 331213210002.

2000123121330 is a `hidden beast` number, since 20 + 0 + 0 + 1 + 2 + 312 + 1 + 330 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93448630 + ... + 93470030.

It is an arithmetic number, because the mean of its divisors is an integer number (54592949268).

Almost surely, 22000123121330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000123121330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2620461564864).

2000123121330 is an abundant number, since it is smaller than the sum of its proper divisors (3240800008398).

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

2000123121330 is a wasteful number, since it uses less digits than its factorization.

2000123121330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29472 (or 29469 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2000123121330 its reverse (331213210002), we get a palindrome (2331336331332).

The spelling of 2000123121330 in words is "two trillion, one hundred twenty-three million, one hundred twenty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 131 262 393 655 786 1179 1310 1965 2358 3930 5895 7927 11790 15854 21401 23781 39635 42802 47562 64203 71343 79270 107005 118905 128406 142686 192609 214010 237810 321015 356715 385218 642030 713430 963045 1038437 1926090 2076874 2803531 3115311 5192185 5607062 6230622 8410593 9345933 10384370 14017655 15576555 16821186 18691866 25231779 28035310 31153110 42052965 46729665 50463558 84105930 93459330 126158895 169645727 252317790 339291454 508937181 848228635 1017874362 1526811543 1696457270 2544685905 3053623086 5089371810 7634057715 15268115430 22223590237 44447180474 66670770711 111117951185 133341541422 200012312133 222235902370 333353853555 400024624266 666707707110 1000061560665 2000123121330