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21120001110 = 232513119315131
BaseRepresentation
bin10011101010110110…
…011010010001010110
32000111220000012221100
4103222312122101112
5321223210013420
613411414530530
71345242022155
oct235266322126
960456005840
1021120001110
118a5876547a
124115066a46
131cb773c3a0
141044d4d59c
15839253190
hex4ead9a456

21120001110 has 96 divisors (see below), whose sum is σ = 59189483808. Its totient is φ = 5194068480.

The previous prime is 21120001103. The next prime is 21120001127. The reversal of 21120001110 is 1110002112.

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 = 21120001092 and 21120001101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1388245 + ... + 1403375.

It is an arithmetic number, because the mean of its divisors is an integer number (616557123).

Almost surely, 221120001110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21120001110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29594741904).

21120001110 is an abundant number, since it is smaller than the sum of its proper divisors (38069482698).

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

21120001110 is a wasteful number, since it uses less digits than its factorization.

21120001110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16350 (or 16347 counting only the distinct ones).

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

Adding to 21120001110 its reverse (1110002112), we get a palindrome (22230003222).

The spelling of 21120001110 in words is "twenty-one billion, one hundred twenty million, one thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 1193 2386 3579 5965 7158 10737 11930 15131 15509 17895 21474 30262 31018 35790 45393 46527 53685 75655 77545 90786 93054 107370 136179 139581 151310 155090 196703 226965 232635 272358 279162 393406 453930 465270 590109 680895 697905 983515 1180218 1361790 1395810 1770327 1967030 2950545 3540654 5901090 8851635 17703270 18051283 36102566 54153849 90256415 108307698 162461547 180512830 234666679 270769245 324923094 469333358 541538490 704000037 812307735 1173333395 1408000074 1624615470 2112000111 2346666790 3520000185 4224000222 7040000370 10560000555 21120001110