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20211112000 = 265323109843
BaseRepresentation
bin10010110100101011…
…010001100001000000
31221011112202212110201
4102310223101201000
5312343021041000
613141310134544
71313564421532
oct226453214100
957145685421
1020211112000
118631711652
123b007b1454
131ba1352991
14d9a35b852
157d456c96a
hex4b4ad1840

20211112000 has 112 divisors (see below), whose sum is σ = 52229503872. Its totient is φ = 7732876800.

The previous prime is 20211111941. The next prime is 20211112007. The reversal of 20211112000 is 21111202.

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

It is not an unprimeable number, because it can be changed into a prime (20211112007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129079 + ... + 238921.

It is an arithmetic number, because the mean of its divisors is an integer number (466334856).

Almost surely, 220211112000 is an apocalyptic number.

20211112000 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 20211112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26114751936).

20211112000 is an abundant number, since it is smaller than the sum of its proper divisors (32018391872).

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

20211112000 is a wasteful number, since it uses less digits than its factorization.

20211112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109893 (or 109873 counting only the distinct ones).

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

Adding to 20211112000 its reverse (21111202), we get a palindrome (20232223202).

The spelling of 20211112000 in words is "twenty billion, two hundred eleven million, one hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 64 80 92 100 115 125 160 184 200 230 250 320 368 400 460 500 575 736 800 920 1000 1150 1472 1600 1840 2000 2300 2875 3680 4000 4600 5750 7360 8000 9200 11500 18400 23000 36800 46000 92000 109843 184000 219686 439372 549215 878744 1098430 1757488 2196860 2526389 2746075 3514976 4393720 5052778 5492150 7029952 8787440 10105556 10984300 12631945 13730375 17574880 20211112 21968600 25263890 27460750 35149760 40422224 43937200 50527780 54921500 63159725 80844448 87874400 101055560 109843000 126319450 161688896 175748800 202111120 219686000 252638900 315798625 404222240 439372000 505277800 631597250 808444480 878744000 1010555600 1263194500 2021111200 2526389000 4042222400 5052778000 10105556000 20211112000