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21023303001000 = 2335310336783899
BaseRepresentation
bin1001100011110110111101…
…00000011110001110101000
32202102210211010121000221220
410301323132200132032220
510223421211032013000
6112413545544502040
74266612022016226
oct461733640361650
982383733530856
1021023303001000
116775a29516543
12243655977a920
13b9664834a461
14529767507b16
15266ce73101a0
hex131ede81e3a8

21023303001000 has 128 divisors (see below), whose sum is σ = 65656212336000. Its totient is φ = 5600786188800.

The previous prime is 21023303000969. The next prime is 21023303001007. The reversal of 21023303001000 is 10030332012.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (21023303001007) 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, 292950 + ... + 6490949.

It is an arithmetic number, because the mean of its divisors is an integer number (512939158875).

Almost surely, 221023303001000 is an apocalyptic number.

21023303001000 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 21023303001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32828106168000).

21023303001000 is an abundant number, since it is smaller than the sum of its proper divisors (44632909335000).

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

21023303001000 is a wasteful number, since it uses less digits than its factorization.

21023303001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6784956 (or 6784942 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 21023303001000 its reverse (10030332012), we get a palindrome (21033333333012).

The spelling of 21023303001000 in words is "twenty-one trillion, twenty-three billion, three hundred three million, one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1033 1500 2066 3000 3099 4132 5165 6198 8264 10330 12396 15495 20660 24792 25825 30990 41320 51650 61980 77475 103300 123960 129125 154950 206600 258250 309900 387375 516500 619800 774750 1033000 1549500 3099000 6783899 13567798 20351697 27135596 33919495 40703394 54271192 67838990 81406788 101758485 135677980 162813576 169597475 203516970 271355960 339194950 407033940 508792425 678389900 814067880 847987375 1017584850 1356779800 1695974750 2035169700 2543962125 3391949500 4070339400 5087924250 6783899000 7007767667 10175848500 14015535334 20351697000 21023303001 28031070668 35038838335 42046606002 56062141336 70077676670 84093212004 105116515005 140155353340 168186424008 175194191675 210233030010 280310706680 350388383350 420466060020 525582575025 700776766700 840932120040 875970958375 1051165150050 1401553533400 1751941916750 2102330300100 2627912875125 3503883833500 4204660600200 5255825750250 7007767667000 10511651500500 21023303001000