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20211200000 = 212551579
BaseRepresentation
bin10010110100101011…
…100111000000000000
31221011112221100011222
4102310223213000000
5312343031400000
613141312054212
71313565236225
oct226453470000
957145840158
1020211200000
118631771782
123b00834368
131ba1383a54
14d9a38194c
157d4588a85
hex4b4ae7000

20211200000 has 156 divisors (see below), whose sum is σ = 50550592680. Its totient is φ = 8079360000.

The previous prime is 20211199997. The next prime is 20211200003. The reversal of 20211200000 is 211202.

It is an interprime number because it is at equal distance from previous prime (20211199997) and next prime (20211200003).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20211200003) 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 11 ways as a sum of consecutive naturals, for example, 12799211 + ... + 12800789.

Almost surely, 220211200000 is an apocalyptic number.

20211200000 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 20211200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25275296340).

20211200000 is an abundant number, since it is smaller than the sum of its proper divisors (30339392680).

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

20211200000 is an frugal number, since it uses more digits than its factorization.

20211200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628 (or 1586 counting only the distinct ones).

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

Adding to 20211200000 its reverse (211202), we get a palindrome (20211411202).

It can be divided in two parts, 2021 and 1200000, that added together give a palindrome (1202021).

The spelling of 20211200000 in words is "twenty billion, two hundred eleven million, two hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1024 1250 1280 1579 1600 2000 2048 2500 2560 3125 3158 3200 4000 4096 5000 5120 6250 6316 6400 7895 8000 10000 10240 12500 12632 12800 15790 16000 20000 20480 25000 25264 25600 31580 32000 39475 40000 50000 50528 51200 63160 64000 78950 80000 100000 101056 102400 126320 128000 157900 160000 197375 200000 202112 252640 256000 315800 320000 394750 400000 404224 505280 512000 631600 640000 789500 800000 808448 986875 1010560 1263200 1280000 1579000 1600000 1616896 1973750 2021120 2526400 2560000 3158000 3200000 3233792 3947500 4042240 4934375 5052800 6316000 6400000 6467584 7895000 8084480 9868750 10105600 12632000 12800000 15790000 16168960 19737500 20211200 25264000 31580000 32337920 39475000 40422400 50528000 63160000 78950000 80844800 101056000 126320000 157900000 161689600 202112000 252640000 315800000 404224000 505280000 631600000 808448000 1010560000 1263200000 2021120000 2526400000 4042240000 5052800000 10105600000 20211200000