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20311011231100 = 22521014447452213
BaseRepresentation
bin1001001111001000001101…
…00111000000010101111100
32122220201021021222000210221
410213210012213000111330
510130233422333343400
6111110425540111124
74164264535614652
oct447440647002574
978821237860727
1020311011231100
116520940373227
1223404b06954a4
13b4442146ccb5
145030b5954dd2
152535090a1c1a
hex1279069c057c

20311011231100 has 72 divisors (see below), whose sum is σ = 44521387198848. Its totient is φ = 8042138208000.

The previous prime is 20311011231089. The next prime is 20311011231101. The reversal of 20311011231100 is 113211011302.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20311011231101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44688594 + ... + 45140806.

It is an arithmetic number, because the mean of its divisors is an integer number (618352599984).

Almost surely, 220311011231100 is an apocalyptic number.

20311011231100 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 20311011231100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22260693599424).

20311011231100 is an abundant number, since it is smaller than the sum of its proper divisors (24210375967748).

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

20311011231100 is a wasteful number, since it uses less digits than its factorization.

20311011231100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456775 (or 456768 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 20311011231100 its reverse (113211011302), we get a palindrome (20424222242402).

The spelling of 20311011231100 in words is "twenty trillion, three hundred eleven billion, eleven million, two hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 404 505 1010 2020 2525 4447 5050 8894 10100 17788 22235 44470 88940 111175 222350 444700 449147 452213 898294 904426 1796588 1808852 2245735 2261065 4491470 4522130 8982940 9044260 11228675 11305325 22457350 22610650 44914700 45221300 45673513 91347026 182694052 228367565 456735130 913470260 1141837825 2010991211 2283675650 4021982422 4567351300 8043964844 10054956055 20109912110 40219824220 50274780275 100549560550 201099121100 203110112311 406220224622 812440449244 1015550561555 2031101123110 4062202246220 5077752807775 10155505615550 20311011231100