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11021110020 = 2233564331741
BaseRepresentation
bin10100100001110100…
…01100101100000100
31001110002011101202000
422100322030230010
5140032401010040
65021340345300
7540053614044
oct122072145404
931402141660
1011021110020
114746147098
122176b45230
13106840909b
14767a07724
1544785e130
hex290e8cb04

11021110020 has 96 divisors (see below), whose sum is σ = 34342304640. Its totient is φ = 2934299520.

The previous prime is 11021110019. The next prime is 11021110109. The reversal of 11021110020 is 2001112011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11021109984 and 11021110011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 331350 + ... + 363090.

It is an arithmetic number, because the mean of its divisors is an integer number (357732340).

Almost surely, 211021110020 is an apocalyptic number.

11021110020 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 11021110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17171152320).

11021110020 is an abundant number, since it is smaller than the sum of its proper divisors (23321194620).

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

11021110020 is a wasteful number, since it uses less digits than its factorization.

11021110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32402 (or 32394 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11021110020 its reverse (2001112011), we get a palindrome (13022222031).

The spelling of 11021110020 in words is "eleven billion, twenty-one million, one hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 643 1286 1929 2572 3215 3858 5787 6430 7716 9645 11574 12860 17361 19290 23148 28935 31741 34722 38580 57870 63482 69444 86805 95223 115740 126964 158705 173610 190446 285669 317410 347220 380892 476115 571338 634820 857007 952230 1142676 1428345 1714014 1904460 2856690 3428028 4285035 5713380 8570070 17140140 20409463 40818926 61228389 81637852 102047315 122456778 183685167 204094630 244913556 306141945 367370334 408189260 551055501 612283890 734740668 918425835 1102111002 1224567780 1836851670 2204222004 2755277505 3673703340 5510555010 11021110020