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20001221201010 = 2357431900124551
BaseRepresentation
bin1001000110000111001011…
…01011110100110001110010
32121211002122111100221111210
410203003211223310301302
510110200000111413020
6110312233440420550
74133016623040450
oct443034553646162
977732574327453
1020001221201010
116411519a34475
1222b0454617756
13b211512bc19a
144d20c85099d0
1524a4271ad3e0
hex1230e5af4c72

20001221201010 has 128 divisors (see below), whose sum is σ = 54996128022528. Its totient is φ = 4560408000000.

The previous prime is 20001221201009. The next prime is 20001221201051. The reversal of 20001221201010 is 1010212210002.

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, 814668235 + ... + 814692785.

It is an arithmetic number, because the mean of its divisors is an integer number (429657250176).

Almost surely, 220001221201010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20001221201010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27498064011264).

20001221201010 is an abundant number, since it is smaller than the sum of its proper divisors (34994906821518).

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

20001221201010 is a wasteful number, since it uses less digits than its factorization.

20001221201010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34000.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20001221201010 its reverse (1010212210002), we get a palindrome (21011433411012).

The spelling of 20001221201010 in words is "twenty trillion, one billion, two hundred twenty-one million, two hundred one thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 431 862 1293 2155 2586 3017 4310 6034 6465 9001 9051 12930 15085 18002 18102 24551 27003 30170 45005 45255 49102 54006 63007 73653 90010 90510 122755 126014 135015 147306 171857 189021 245510 270030 315035 343714 368265 378042 515571 630070 736530 859285 945105 1031142 1718570 1890210 2577855 3879431 5155710 7758862 10581481 11638293 19397155 21162962 23276586 27156017 31744443 38794310 52907405 54312034 58191465 63488886 74070367 81468051 105814810 116382930 135780085 148140734 158722215 162936102 220983551 222211101 271560170 317444430 370351835 407340255 441967102 444422202 662950653 740703670 814680510 1104917755 1111055505 1325901306 1546884857 2209835510 2222111010 3093769714 3314753265 4640654571 6629506530 7734424285 9281309142 15468848570 23203272855 46406545710 95243910481 190487820962 285731731443 476219552405 571463462886 666707373367 952439104810 1333414746734 1428658657215 2000122120101 2857317314430 3333536866835 4000244240202 6667073733670 10000610600505 20001221201010