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20010012002000 = 2453431129117981
BaseRepresentation
bin1001000110010111100011…
…01010000100011011010000
32121211221100010210220102122
410203023301222010123100
510110321001033031000
6110320250030033412
74133450515442036
oct443136152043320
977757303726378
1020010012002000
11641522012a359
1222b20a8648868
13b21c22614087
144d26bdc26556
1524a78dd15085
hex1232f1a846d0

20010012002000 has 160 divisors (see below), whose sum is σ = 48536733593088. Its totient is φ = 7978804800000.

The previous prime is 20010012001943. The next prime is 20010012002009. The reversal of 20010012002000 is 20021001002.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20010012002009) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1112833010 + ... + 1112850990.

Almost surely, 220010012002000 is an apocalyptic number.

20010012002000 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 20010012002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24268366796544).

20010012002000 is an abundant number, since it is smaller than the sum of its proper divisors (28526721591088).

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

20010012002000 is a wasteful number, since it uses less digits than its factorization.

20010012002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19726 (or 19710 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 20010012002000 its reverse (20021001002), we get a palindrome (20030033003002).

The spelling of 20010012002000 in words is "twenty trillion, ten billion, twelve million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 431 500 862 1000 1291 1724 2000 2155 2582 3448 4310 5164 6455 6896 8620 10328 10775 12910 17240 17981 20656 21550 25820 32275 34480 35962 43100 51640 53875 64550 71924 86200 89905 103280 107750 129100 143848 161375 172400 179810 215500 258200 287696 322750 359620 431000 449525 516400 556421 645500 719240 862000 899050 1112842 1291000 1438480 1798100 2225684 2247625 2582000 2782105 3596200 4451368 4495250 5564210 7192400 7749811 8902736 8990500 11128420 13910525 15499622 17981000 22256840 23213471 27821050 30999244 35962000 38749055 44513680 46426942 55642100 61998488 69552625 77498110 92853884 111284200 116067355 123996976 139105250 154996220 185707768 193745275 222568400 232134710 278210500 309992440 371415536 387490550 464269420 556421000 580336775 619984880 774981100 928538840 968726375 1112842000 1160673550 1549962200 1857077680 1937452750 2321347100 2901683875 3099924400 3874905500 4642694200 5803367750 7749811000 9285388400 10005006001 11606735500 15499622000 20010012002 23213471000 40020024004 46426942000 50025030005 80040048008 100050060010 160080096016 200100120020 250125150025 400200240040 500250300050 800400480080 1000500600100 1250625750125 2001001200200 2501251500250 4002002400400 5002503000500 10005006001000 20010012002000