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20102210210000 = 24544149029781
BaseRepresentation
bin1001001001000011010010…
…00110010100100011010000
32122011202022121000011001002
410210201221012110203100
510113323311303210000
6110430454453401132
74143223336332212
oct444415106244320
978152277004032
1020102210210000
116450332666676
122307b396391a8
13b2a82698b139
144d6d48a565b2
1524cd881578d5
hex1248691948d0

20102210210000 has 100 divisors (see below), whose sum is σ = 49856522184084. Its totient is φ = 7844764800000.

The previous prime is 20102210209999. The next prime is 20102210210009. The reversal of 20102210210000 is 1201220102.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 19514270910016 + 587939299984 = 4417496^2 + 766772^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20102210210009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24104891 + ... + 24924890.

Almost surely, 220102210210000 is an apocalyptic number.

20102210210000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20102210210000 is an abundant number, since it is smaller than the sum of its proper divisors (29754311974084).

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

20102210210000 is an equidigital number, since it uses as much as digits as its factorization.

20102210210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49029850 (or 49029829 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 20102210210000 its reverse (1201220102), we get a palindrome (20103411430102).

The spelling of 20102210210000 in words is "twenty trillion, one hundred two billion, two hundred ten million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 80 82 100 125 164 200 205 250 328 400 410 500 625 656 820 1000 1025 1250 1640 2000 2050 2500 3280 4100 5000 5125 8200 10000 10250 16400 20500 25625 41000 51250 82000 102500 205000 410000 49029781 98059562 196119124 245148905 392238248 490297810 784476496 980595620 1225744525 1961191240 2010221021 2451489050 3922382480 4020442042 4902978100 6128722625 8040884084 9805956200 10051105105 12257445250 16081768168 19611912400 20102210210 24514890500 30643613125 32163536336 40204420420 49029781000 50255525525 61287226250 80408840840 98059562000 100511051050 122574452500 160817681680 201022102100 245148905000 251277627625 402044204200 490297810000 502555255250 804088408400 1005110510500 1256388138125 2010221021000 2512776276250 4020442042000 5025552552500 10051105105000 20102210210000