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20102212211000 = 23531910311026199
BaseRepresentation
bin1001001001000011010010…
…01101111101000100111000
32122011202022201202210220012
410210201221031331010320
510113323312311223000
6110430455004321052
74143223362335063
oct444415115750470
978152281683805
1020102212211000
116450333802a97
122307b3a243188
13b2a82720bb6a
144d6d490178da
1524cd88400735
hex12486937d138

20102212211000 has 128 divisors (see below), whose sum is σ = 49562997120000. Its totient is φ = 7610284368000.

The previous prime is 20102212210999. The next prime is 20102212211009. The reversal of 20102212211000 is 11221220102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20102212211009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19075901 + ... + 20102099.

It is an arithmetic number, because the mean of its divisors is an integer number (387210915000).

Almost surely, 220102212211000 is an apocalyptic number.

20102212211000 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 20102212211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24781498560000).

20102212211000 is an abundant number, since it is smaller than the sum of its proper divisors (29460784909000).

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

20102212211000 is a wasteful number, since it uses less digits than its factorization.

20102212211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027270 (or 1027256 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 20102212211000 its reverse (11221220102), we get a palindrome (20113433431102).

The spelling of 20102212211000 in words is "twenty trillion, one hundred two billion, two hundred twelve million, two hundred eleven thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 200 250 380 475 500 760 950 1000 1031 1900 2062 2375 3800 4124 4750 5155 8248 9500 10310 19000 19589 20620 25775 39178 41240 51550 78356 97945 103100 128875 156712 195890 206200 257750 391780 489725 515500 783560 979450 1026199 1031000 1958900 2052398 2448625 3917800 4104796 4897250 5130995 8209592 9794500 10261990 19497781 19589000 20523980 25654975 38995562 41047960 51309950 77991124 97488905 102619900 128274875 155982248 194977810 205239800 256549750 389955620 487444525 513099500 779911240 974889050 1026199000 1058011169 1949778100 2116022338 2437222625 3899556200 4232044676 4874445250 5290055845 8464089352 9748890500 10580111690 19497781000 20102212211 21160223380 26450279225 40204424422 42320446760 52900558450 80408848844 100511061055 105801116900 132251396125 160817697688 201022122110 211602233800 264502792250 402044244220 502555305275 529005584500 804088488440 1005110610550 1058011169000 2010221221100 2512776526375 4020442442200 5025553052750 10051106105500 20102212211000