Search a number
-
+
20211210000 = 243254224569
BaseRepresentation
bin10010110100101011…
…101001011100010000
31221011112221211220100
4102310223221130100
5312343032210000
613141312212400
71313565310332
oct226453513420
957145854810
1020211210000
118631779243
123b0083a100
131ba1388477
14d9a385452
157d458ba00
hex4b4ae9710

20211210000 has 150 divisors (see below), whose sum is σ = 70681835510. Its totient is φ = 5389632000.

The previous prime is 20211209969. The next prime is 20211210013. The reversal of 20211210000 is 1211202.

It can be written as a sum of positive squares in 5 ways, for example, as 8223587856 + 11987622144 = 90684^2 + 109488^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 22285 + ... + 202284.

Almost surely, 220211210000 is an apocalyptic number.

20211210000 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 20211210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35340917755).

20211210000 is an abundant number, since it is smaller than the sum of its proper divisors (50470625510).

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

20211210000 is a wasteful number, since it uses less digits than its factorization.

20211210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224603 (or 224579 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20211210000 its reverse (1211202), we get a palindrome (20212421202).

The spelling of 20211210000 in words is "twenty billion, two hundred eleven million, two hundred ten thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 625 720 750 900 1000 1125 1200 1250 1500 1800 1875 2000 2250 2500 3000 3600 3750 4500 5000 5625 6000 7500 9000 10000 11250 15000 18000 22500 30000 45000 90000 224569 449138 673707 898276 1122845 1347414 1796552 2021121 2245690 2694828 3368535 3593104 4042242 4491380 5389656 5614225 6737070 8084484 8982760 10105605 10779312 11228450 13474140 16168968 16842675 17965520 20211210 22456900 26948280 28071125 32337936 33685350 40422420 44913800 50528025 53896560 56142250 67370700 80844840 84213375 89827600 101056050 112284500 134741400 140355625 161689680 168426750 202112100 224569000 252640125 269482800 280711250 336853500 404224200 421066875 449138000 505280250 561422500 673707000 808448400 842133750 1010560500 1122845000 1263200625 1347414000 1684267500 2021121000 2245690000 2526401250 3368535000 4042242000 5052802500 6737070000 10105605000 20211210000