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11000210100220 = 22511434211276137
BaseRepresentation
bin1010000000010010111110…
…0111011000111111111100
31102221121110112222212122001
42200010233213120333330
52420211412241201340
635221232102432044
72213511314045365
oct240045747307774
942847415885561
1011000210100220
113561187910360
121297ab8132624
1361a413b06703
142a05ad426b6c
15141219d5b29a
hexa012f9d8ffc

11000210100220 has 96 divisors (see below), whose sum is σ = 25792756045056. Its totient is φ = 3906109401600.

The previous prime is 11000210100203. The next prime is 11000210100293. The reversal of 11000210100220 is 2200101200011.

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

It is a junction number, because it is equal to n+sod(n) for n = 11000210100197 and 11000210100206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39697992 + ... + 39974128.

It is an arithmetic number, because the mean of its divisors is an integer number (268674542136).

Almost surely, 211000210100220 is an apocalyptic number.

11000210100220 is a gapful number since it is divisible by the number (10) 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 11000210100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12896378022528).

11000210100220 is an abundant number, since it is smaller than the sum of its proper divisors (14792545944836).

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

11000210100220 is a wasteful number, since it uses less digits than its factorization.

11000210100220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280411 (or 280409 counting only the distinct ones).

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

Adding to 11000210100220 its reverse (2200101200011), we get a palindrome (13200311300231).

The spelling of 11000210100220 in words is "eleven trillion, two hundred ten million, one hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 86 110 172 215 220 430 473 860 946 1892 2365 4211 4730 8422 9460 16844 21055 42110 46321 84220 92642 181073 185284 231605 276137 362146 463210 552274 724292 905365 926420 1104548 1380685 1810730 1991803 2761370 3037507 3621460 3983606 5522740 6075014 7967212 9959015 11873891 12150028 15187535 19918030 23747782 30375070 39836060 47495564 59369455 60750140 118738910 130612801 237477820 261225602 522451204 653064005 1162812907 1306128010 2325625814 2612256020 4651251628 5814064535 11628129070 12790941977 23256258140 25581883954 50000955001 51163767908 63954709885 100001910002 127909419770 200003820004 250004775005 255818839540 500009550010 550010505011 1000019100020 1100021010022 2200042020044 2750052525055 5500105050110 11000210100220