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20112201100 = 22521912318599
BaseRepresentation
bin10010101110110001…
…111101010110001100
31220220122122200020001
4102232301331112030
5312142210413400
613123414134044
71311253613545
oct225661752614
956818580201
1020112201100
1185908a4402
123a93651324
131b86a00b14
14d8b1714cc
157caa30a6a
hex4aec7d58c

20112201100 has 72 divisors (see below), whose sum is σ = 45983168000. Its totient is φ = 7614388800.

The previous prime is 20112201089. The next prime is 20112201139. The reversal of 20112201100 is 110221102.

It is a Harshad number since it is a multiple of its sum of digits (10).

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 23 ways as a sum of consecutive naturals, for example, 2334601 + ... + 2343199.

Almost surely, 220112201100 is an apocalyptic number.

20112201100 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 20112201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22991584000).

20112201100 is an abundant number, since it is smaller than the sum of its proper divisors (25870966900).

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

20112201100 is a wasteful number, since it uses less digits than its factorization.

20112201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9863 (or 9856 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 20112201100 its reverse (110221102), we get a palindrome (20222422202).

The spelling of 20112201100 in words is "twenty billion, one hundred twelve million, two hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 950 1231 1900 2462 4924 6155 8599 12310 17198 23389 24620 30775 34396 42995 46778 61550 85990 93556 116945 123100 163381 171980 214975 233890 326762 429950 467780 584725 653524 816905 859900 1169450 1633810 2338900 3267620 4084525 8169050 10585369 16338100 21170738 42341476 52926845 105853690 201122011 211707380 264634225 402244022 529268450 804488044 1005610055 1058536900 2011220110 4022440220 5028050275 10056100550 20112201100