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1000220220010 = 2511217229721169
BaseRepresentation
bin11101000111000011100…
…01010101101001101010
310112121202001210202112201
432203201301111221222
5112341422334020020
62043254514330414
7132156250406614
oct16434161255152
93477661722481
101000220220010
11356211269500
12141a23889a0a
1373421ab243b
14365a77addb4
151b040c66a0a
hexe8e1c55a6a

1000220220010 has 96 divisors (see below), whose sum is σ = 2096368056720. Its totient is φ = 342156165120.

The previous prime is 1000220220001. The next prime is 1000220220011. The reversal of 1000220220010 is 100220220001.

1000220220010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 838779390801 + 161440829209 = 915849^2 + 401797^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1000220220011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47238706 + ... + 47259874.

Almost surely, 21000220220010 is an apocalyptic number.

1000220220010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1000220220010 is an abundant number, since it is smaller than the sum of its proper divisors (1096147836710).

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

1000220220010 is a wasteful number, since it uses less digits than its factorization.

1000220220010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23512 (or 23501 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 1000220220010 its reverse (100220220001), we get a palindrome (1100440440011).

Subtracting from 1000220220010 its reverse (100220220001), we obtain a palindrome (900000000009).

The spelling of 1000220220010 in words is "one trillion, two hundred twenty million, two hundred twenty thousand, ten".

Divisors: 1 2 5 10 11 17 22 34 55 85 110 121 170 187 242 374 605 935 1210 1870 2057 2297 4114 4594 10285 11485 20570 21169 22970 25267 39049 42338 50534 78098 105845 126335 195245 211690 232859 252670 277937 359873 390490 429539 465718 555874 719746 859078 1164295 1389685 1799365 2147695 2328590 2561449 2779370 3598730 3958603 4295390 4724929 5122898 7917206 9449858 12807245 19793015 23624645 25614490 39586030 43544633 47249290 48625193 87089266 97250386 217723165 243125965 435446330 486251930 534877123 826628281 1069754246 1653256562 2674385615 4133141405 5348771230 5883648353 8266282810 9092911091 11767296706 18185822182 29418241765 45464555455 58836483530 90929110910 100022022001 200044044002 500110110005 1000220220010