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20010120002010 = 2335229719450113
BaseRepresentation
bin1001000110010111110000…
…00110000011100111011010
32121211221121200000212121000
410203023320012003213122
510110321211210031020
6110320304444525430
74133453266433625
oct443137006034732
977757550025530
1020010120002010
116415276095366
1222b2118850876
13b21c3bac8cc8
144d26d02dadbc
1524a79854a090
hex1232f81839da

20010120002010 has 128 divisors (see below), whose sum is σ = 53667992448000. Its totient is φ = 5305329709056.

The previous prime is 20010120001997. The next prime is 20010120002039. The reversal of 20010120002010 is 1020002101002.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 20010120001983 and 20010120002001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44230714 + ... + 44680826.

It is an arithmetic number, because the mean of its divisors is an integer number (419281191000).

Almost surely, 220010120002010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20010120002010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26833996224000).

20010120002010 is an abundant number, since it is smaller than the sum of its proper divisors (33657872445990).

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

20010120002010 is a wasteful number, since it uses less digits than its factorization.

20010120002010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451077 (or 451071 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20010120002010 its reverse (1020002101002), we get a palindrome (21030122103012).

The spelling of 20010120002010 in words is "twenty trillion, ten billion, one hundred twenty million, two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 229 270 458 687 719 1145 1374 1438 2061 2157 2290 3435 3595 4122 4314 6183 6471 6870 7190 10305 10785 12366 12942 19413 20610 21570 30915 32355 38826 61830 64710 97065 164651 194130 329302 450113 493953 823255 900226 987906 1350339 1481859 1646510 2250565 2469765 2700678 2963718 4051017 4445577 4501130 4939530 6751695 7409295 8102034 8891154 12153051 13503390 14818590 20255085 22227885 24306102 40510170 44455770 60765255 103075877 121530510 206151754 309227631 323631247 515379385 618455262 647262494 927682893 970893741 1030758770 1546138155 1618156235 1855365786 1941787482 2783048679 2912681223 3092276310 3236312470 4638414465 4854468705 5566097358 5825362446 8738043669 9276828930 9708937410 13915243395 14563406115 17476087338 27830486790 29126812230 43690218345 74111555563 87380436690 148223111126 222334666689 370557777815 444669333378 667004000067 741115555630 1111673333445 1334008000134 2001012000201 2223346666890 3335020000335 4002024000402 6670040000670 10005060001005 20010120002010