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20213043131200 = 265228434443599
BaseRepresentation
bin1001001100010001101110…
…10000010111001101000000
32122120100101201200220111111
410212020313100113031000
510122132303020144300
6110553424355453104
74154226023532313
oct446106720271500
978510351626444
1020213043131200
116493337992807
12232550b2b7194
13b3810a8c670a
144dc4606d497a
15250bc342b9ba
hex126237417340

20213043131200 has 84 divisors (see below), whose sum is σ = 49754224900800. Its totient is φ = 8082371530240.

The previous prime is 20213043131173. The next prime is 20213043131201. The reversal of 20213043131200 is 213134031202.

It is a super-2 number, since 2×202130431312002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20213043131201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2327001 + ... + 6770599.

It is an arithmetic number, because the mean of its divisors is an integer number (592312201200).

Almost surely, 220213043131200 is an apocalyptic number.

20213043131200 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 20213043131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24877112450400).

20213043131200 is an abundant number, since it is smaller than the sum of its proper divisors (29541181769600).

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

20213043131200 is a wasteful number, since it uses less digits than its factorization.

20213043131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4446464 (or 4446449 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 20213043131200 its reverse (213134031202), we get a palindrome (20426177162402).

The spelling of 20213043131200 in words is "twenty trillion, two hundred thirteen billion, forty-three million, one hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 2843 5686 11372 14215 22744 28430 45488 56860 71075 90976 113720 142150 181952 227440 284300 454880 568600 909760 1137200 2274400 4443599 4548800 8887198 17774396 22217995 35548792 44435990 71097584 88871980 111089975 142195168 177743960 222179950 284390336 355487920 444359900 710975840 888719800 1421951680 1777439600 3554879200 7109758400 12633151957 25266303914 50532607828 63165759785 101065215656 126331519570 202130431312 252663039140 315828798925 404260862624 505326078280 631657597850 808521725248 1010652156560 1263315195700 2021304313120 2526630391400 4042608626240 5053260782800 10106521565600 20213043131200