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20110111100 = 22521913038123
BaseRepresentation
bin10010101110101001…
…111111000101111100
31220220111201111021122
4102232221333011330
5312141142023400
613123301250112
71311230060342
oct225651770574
956814644248
1020110111100
11858a6a7132
123a92a03938
131b8644b731
14d8ab89992
157ca76b685
hex4aea7f17c

20110111100 has 72 divisors (see below), whose sum is σ = 45976640640. Its totient is φ = 7613887680.

The previous prime is 20110111097. The next prime is 20110111139. The reversal of 20110111100 is 111101102.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2471639 + ... + 2479761.

Almost surely, 220110111100 is an apocalyptic number.

20110111100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20110111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22988320320).

20110111100 is an abundant number, since it is smaller than the sum of its proper divisors (25866529540).

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

20110111100 is a wasteful number, since it uses less digits than its factorization.

20110111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9459 (or 9452 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 20110111100 its reverse (111101102), we get a palindrome (20221212202).

The spelling of 20110111100 in words is "twenty billion, one hundred ten million, one hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 950 1303 1900 2606 5212 6515 8123 13030 16246 24757 26060 32492 32575 40615 49514 65150 81230 99028 123785 130300 154337 162460 203075 247570 308674 406150 495140 617348 618925 771685 812300 1237850 1543370 2475700 3086740 3858425 7716850 10584269 15433700 21168538 42337076 52921345 105842690 201101111 211685380 264606725 402202222 529213450 804404444 1005505555 1058426900 2011011110 4022022220 5027527775 10055055550 20110111100