Search a number
-
+
10200200120110 = 2573111320795939
BaseRepresentation
bin1001010001101110101101…
…0011100000011100101110
31100010010111111002002111201
42110123223103200130232
52314110002212320420
633405523544240114
72101640316316000
oct224335323403456
940103444062451
1010200200120110
11328297605a440
121188a4a47003a
1358cb4aa74560
14273999a24370
1512a4e5c4710a
hex946eb4e072e

10200200120110 has 128 divisors (see below), whose sum is σ = 25154769024000. Its totient is φ = 2934722770560.

The previous prime is 10200200120101. The next prime is 10200200120113. The reversal of 10200200120110 is 1102100200201.

10200200120110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200200120113) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9907480 + ... + 10888459.

It is an arithmetic number, because the mean of its divisors is an integer number (196521633000).

Almost surely, 210200200120110 is an apocalyptic number.

10200200120110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10200200120110 is an abundant number, since it is smaller than the sum of its proper divisors (14954568903890).

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

10200200120110 is a wasteful number, since it uses less digits than its factorization.

10200200120110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20795991 (or 20795977 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10200200120110 its reverse (1102100200201), we get a palindrome (11302300320311).

The spelling of 10200200120110 in words is "ten trillion, two hundred billion, two hundred million, one hundred twenty thousand, one hundred ten".

Divisors: 1 2 5 7 10 11 13 14 22 26 35 49 55 65 70 77 91 98 110 130 143 154 182 245 286 343 385 455 490 539 637 686 715 770 910 1001 1078 1274 1430 1715 2002 2695 3185 3430 3773 4459 5005 5390 6370 7007 7546 8918 10010 14014 18865 22295 35035 37730 44590 49049 70070 98098 245245 490490 20795939 41591878 103979695 145571573 207959390 228755329 270347207 291143146 457510658 540694414 727857865 1019001011 1143776645 1351736035 1455715730 1601287303 1892430449 2038002022 2287553290 2703472070 2973819277 3202574606 3784860898 5095005055 5947638554 7133007077 8006436515 9462152245 10190010110 11209011121 13247013143 14266014154 14869096385 16012873030 18924304490 20816734939 22418022242 26494026286 29738192770 35665035385 41633469878 56045055605 66235065715 71330070770 78463077847 92729092001 104083674695 112090111210 132470131430 145717144573 156926155694 185458184002 208167349390 291434289146 392315389235 463645460005 728585722865 784630778470 927290920010 1020020012011 1457171445730 2040040024022 5100100060055 10200200120110