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11020002210 = 234575336671
BaseRepresentation
bin10100100001101011…
…11110001110100010
31001110000002010010000
422100311332032202
5140032110032320
65021300520430
7540041321220
oct122065761642
931400063100
1011020002210
11474555a848
1221766b0116
13106810ba89
147677d9b10
154476e0c90
hex290d7e3a2

11020002210 has 160 divisors (see below), whose sum is σ = 34504538112. Its totient is φ = 2471264640.

The previous prime is 11020002209. The next prime is 11020002247. The reversal of 11020002210 is 1220002011.

11020002210 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 (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11020002192 and 11020002201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 282175 + ... + 318845.

Almost surely, 211020002210 is an apocalyptic number.

11020002210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11020002210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17252269056).

11020002210 is an abundant number, since it is smaller than the sum of its proper divisors (23484535902).

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

11020002210 is a wasteful number, since it uses less digits than its factorization.

11020002210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36750 (or 36741 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 11020002210 its reverse (1220002011), we get a palindrome (12240004221).

The spelling of 11020002210 in words is "eleven billion, twenty million, two thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 53 54 63 70 81 90 105 106 126 135 159 162 189 210 265 270 315 318 371 378 405 477 530 567 630 742 795 810 945 954 1113 1134 1431 1590 1855 1890 2226 2385 2835 2862 3339 3710 4293 4770 5565 5670 6678 7155 8586 10017 11130 14310 16695 20034 21465 30051 33390 36671 42930 50085 60102 73342 100170 110013 150255 183355 220026 256697 300510 330039 366710 513394 550065 660078 770091 990117 1100130 1283485 1540182 1650195 1943563 1980234 2310273 2566970 2970351 3300390 3850455 3887126 4620546 4950585 5830689 5940702 6930819 7700910 9717815 9901170 11551365 11661378 13604941 13861638 14851755 17492067 19435630 20792457 23102730 27209882 29153445 29703510 34654095 34984134 40814823 41584914 52476201 58306890 68024705 69308190 81629646 87460335 103962285 104952402 122444469 136049410 157428603 174920670 204074115 207924570 244888938 262381005 314857206 367333407 408148230 524762010 612222345 734666814 787143015 1102000221 1224444690 1574286030 1836667035 2204000442 3673334070 5510001105 11020002210