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21110122110 = 23571110190481
BaseRepresentation
bin10011101010010000…
…101110011001111110
32000111012102022111110
4103222100232121332
5321213142401420
613410423102450
71345062035340
oct235220563176
960435368443
1021110122110
118a53128210
1241118a1a26
131cb569091c
1410438db290
15838450ee0
hex4ea42e67e

21110122110 has 128 divisors (see below), whose sum is σ = 63791981568. Its totient is φ = 4343040000.

The previous prime is 21110122109. The next prime is 21110122133. The reversal of 21110122110 is 1122101112.

It is a super-2 number, since 2×211101221102 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 188070 + ... + 278550.

It is an arithmetic number, because the mean of its divisors is an integer number (498374856).

Almost surely, 221110122110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21110122110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31895990784).

21110122110 is an abundant number, since it is smaller than the sum of its proper divisors (42681859458).

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

21110122110 is a wasteful number, since it uses less digits than its factorization.

21110122110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90610.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 21110122110 its reverse (1122101112), we get a palindrome (22232223222).

The spelling of 21110122110 in words is "twenty-one billion, one hundred ten million, one hundred twenty-two thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 101 105 110 154 165 202 210 231 303 330 385 462 505 606 707 770 1010 1111 1155 1414 1515 2121 2222 2310 3030 3333 3535 4242 5555 6666 7070 7777 10605 11110 15554 16665 21210 23331 33330 38885 46662 77770 90481 116655 180962 233310 271443 452405 542886 633367 904810 995291 1266734 1357215 1900101 1990582 2714430 2985873 3166835 3800202 4976455 5971746 6333670 6967037 9138581 9500505 9952910 13934074 14929365 18277162 19001010 20901111 27415743 29858730 34835185 41802222 45692905 54831486 63970067 69670370 91385810 100524391 104505555 127940134 137078715 191910201 201048782 209011110 274157430 301573173 319850335 383820402 502621955 603146346 639700670 703670737 959551005 1005243910 1407341474 1507865865 1919102010 2111012211 3015731730 3518353685 4222024422 7036707370 10555061055 21110122110