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20111110000110 = 2335196007652621
BaseRepresentation
bin1001001001010011110111…
…00100010100110111101110
32122012121021211112022221000
410210221323210110313232
510114000023130000420
6110434525535021130
74143660024315153
oct444517344246756
978177254468830
1020111110000110
11645408a332708
12230980206a7a6
13b2b61475322c
144d7550a2422a
1524d20963c690
hex124a7b914dee

20111110000110 has 128 divisors (see below), whose sum is σ = 56461722854400. Its totient is φ = 5079847893120.

The previous prime is 20111110000073. The next prime is 20111110000133. The reversal of 20111110000110 is 1100001111102.

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 = 20111110000092 and 20111110000101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30489600 + ... + 31142220.

It is an arithmetic number, because the mean of its divisors is an integer number (441107209800).

Almost surely, 220111110000110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20111110000110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28230861427200).

20111110000110 is an abundant number, since it is smaller than the sum of its proper divisors (36350612854290).

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

20111110000110 is a wasteful number, since it uses less digits than its factorization.

20111110000110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658663 (or 658657 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 20111110000110 its reverse (1100001111102), we get a palindrome (21211111111212).

The spelling of 20111110000110 in words is "twenty trillion, one hundred eleven billion, one hundred ten million, one hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 114 135 171 190 270 285 342 513 570 855 1026 1710 2565 5130 6007 12014 18021 30035 36042 54063 60070 90105 108126 114133 162189 180210 228266 270315 324378 342399 540630 570665 652621 684798 810945 1027197 1141330 1305242 1621890 1711995 1957863 2054394 3081591 3263105 3423990 3915726 5135985 5873589 6163182 6526210 9789315 10271970 11747178 12399799 15407955 17620767 19578630 24799598 29367945 30815910 35241534 37199397 58735890 61998995 74398794 88103835 111598191 123997990 176207670 185996985 223196382 334794573 371993970 557990955 669589146 1115981910 1673972865 3347945730 3920294347 7840588694 11760883041 19601471735 23521766082 35282649123 39202943470 58804415205 70565298246 74485592593 105847947369 117608830410 148971185186 176413245615 211695894738 223456777779 352826491230 372427962965 446913555558 529239736845 670370333337 744855925930 1058479473690 1117283888895 1340740666674 2011111000011 2234567777790 3351851666685 4022222000022 6703703333370 10055555000055 20111110000110