Search a number
-
+
10010120221010 = 25713107102804973
BaseRepresentation
bin1001000110101010100110…
…1010001111000101010010
31022102221212111012202011202
42101222221222033011102
52303001211234033020
633142330304311202
72052131052660650
oct221525152170522
938387774182152
1010010120221010
11320a2a49a0938
121158041012502
13577c47a19390
142686c7227dd0
151255bd64be75
hex91aa9a8f152

10010120221010 has 64 divisors (see below), whose sum is σ = 22383521379072. Its totient is φ = 3138430185216.

The previous prime is 10010120220983. The next prime is 10010120221019. The reversal of 10010120221010 is 1012202101001.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10010120220982 and 10010120221000.

It is not an unprimeable number, because it can be changed into a prime (10010120221019) 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, 51305117 + ... + 51499856.

It is an arithmetic number, because the mean of its divisors is an integer number (349742521548).

Almost surely, 210010120221010 is an apocalyptic number.

10010120221010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10010120221010 is an abundant number, since it is smaller than the sum of its proper divisors (12373401158062).

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

10010120221010 is a wasteful number, since it uses less digits than its factorization.

10010120221010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102805107.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10010120221010 its reverse (1012202101001), we get a palindrome (11022322322011).

The spelling of 10010120221010 in words is "ten trillion, ten billion, one hundred twenty million, two hundred twenty-one thousand, ten".

Divisors: 1 2 5 7 10 13 14 26 35 65 70 91 107 130 182 214 455 535 749 910 1070 1391 1498 2782 3745 6955 7490 9737 13910 19474 48685 97370 102804973 205609946 514024865 719634811 1028049730 1336464649 1439269622 2672929298 3598174055 6682323245 7196348110 9355252543 11000132111 13364646490 18710505086 22000264222 46776262715 55000660555 77000924777 93552525430 110001321110 143001717443 154001849554 286003434886 385004623885 715008587215 770009247770 1001012022101 1430017174430 2002024044202 5005060110505 10010120221010