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20211220000 = 25546715083
BaseRepresentation
bin10010110100101011…
…101011111000100000
31221011112222100121201
4102310223223320200
5312343033020000
613141312330544
71313565351436
oct226453537040
957145870551
1020211220000
118631785804
123b00843a54
131ba138cb9a
14d9a388d56
157d458e96a
hex4b4aebe20

20211220000 has 120 divisors (see below), whose sum is σ = 50468107536. Its totient is φ = 7963296000.

The previous prime is 20211219929. The next prime is 20211220013. The reversal of 20211220000 is 2211202.

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 (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1332459 + ... + 1347541.

Almost surely, 220211220000 is an apocalyptic number.

20211220000 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 20211220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25234053768).

20211220000 is an abundant number, since it is smaller than the sum of its proper divisors (30256887536).

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

20211220000 is an equidigital number, since it uses as much as digits as its factorization.

20211220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15180 (or 15157 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 20211220000 its reverse (2211202), we get a palindrome (20213431202).

The spelling of 20211220000 in words is "twenty billion, two hundred eleven million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 67 80 100 125 134 160 200 250 268 335 400 500 536 625 670 800 1000 1072 1250 1340 1675 2000 2144 2500 2680 3350 4000 5000 5360 6700 8375 10000 10720 13400 15083 16750 20000 26800 30166 33500 41875 53600 60332 67000 75415 83750 120664 134000 150830 167500 241328 268000 301660 335000 377075 482656 603320 670000 754150 1010561 1206640 1340000 1508300 1885375 2021122 2413280 3016600 3770750 4042244 5052805 6033200 7541500 8084488 9426875 10105610 12066400 15083000 16168976 18853750 20211220 25264025 30166000 32337952 37707500 40422440 50528050 60332000 75415000 80844880 101056100 126320125 150830000 161689760 202112200 252640250 301660000 404224400 505280500 631600625 808448800 1010561000 1263201250 2021122000 2526402500 4042244000 5052805000 10105610000 20211220000