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21110121010110 = 235111011171540877
BaseRepresentation
bin1001100110011000101010…
…10000111001001110111110
32202202002220121222212011210
410303030111100321032332
510231332011434310420
6112521504500025250
74306104322640346
oct463142520711676
982662817885153
1021110121010110
1167a982aa747a0
12244b348992226
13ba18a2b68092
1452da41987d26
152691c91499e0
hex1333154393be

21110121010110 has 128 divisors (see below), whose sum is σ = 55865133762048. Its totient is φ = 5062599360000.

The previous prime is 21110121010093. The next prime is 21110121010117. The reversal of 21110121010110 is 1101012101112.

It is a super-2 number, since 2×211101210101102 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21110121010117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38758992 + ... + 39299868.

It is an arithmetic number, because the mean of its divisors is an integer number (436446357516).

Almost surely, 221110121010110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21110121010110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27932566881024).

21110121010110 is an abundant number, since it is smaller than the sum of its proper divisors (34755012751938).

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

21110121010110 is a wasteful number, since it uses less digits than its factorization.

21110121010110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542170.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 21110121010110 its reverse (1101012101112), we get a palindrome (22211133111222).

The spelling of 21110121010110 in words is "twenty-one trillion, one hundred ten billion, one hundred twenty-one million, ten thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 101 110 165 202 303 330 505 606 1010 1111 1171 1515 2222 2342 3030 3333 3513 5555 5855 6666 7026 11110 11710 12881 16665 17565 25762 33330 35130 38643 64405 77286 118271 128810 193215 236542 354813 386430 540877 591355 709626 1081754 1182710 1300981 1622631 1774065 2601962 2704385 3245262 3548130 3902943 5408770 5949647 6504905 7805886 8113155 11899294 13009810 16226310 17848941 19514715 29748235 35697882 39029430 54628577 59496470 89244705 109257154 163885731 178489410 273142885 327771462 546285770 600914347 633366967 819428655 1201828694 1266733934 1638857310 1802743041 1900100901 3004571735 3166834835 3605486082 3800201802 6009143470 6333669670 6967036637 9013715205 9500504505 13934073274 18027430410 19001009010 20901109911 34835183185 41802219822 63970063667 69670366370 104505549555 127940127334 191910191001 209011099110 319850318335 383820382002 639700636670 703670700337 959550955005 1407341400674 1919101910010 2111012101011 3518353501685 4222024202022 7036707003370 10555060505055 21110121010110