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20321211200 = 265228344879
BaseRepresentation
bin10010111011001111…
…010001001101000000
31221110012221111011212
4102323033101031000
5313104212224300
613200242025252
71316402305463
oct227317211500
957405844155
1020321211200
118688880824
123b31648228
131bbb0c1234
14daac1b2da
157de069935
hex4bb3d1340

20321211200 has 84 divisors (see below), whose sum is σ = 50180687040. Its totient is φ = 8099581440.

The previous prime is 20321211193. The next prime is 20321211247. The reversal of 20321211200 is 211212302.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 430361 + ... + 475239.

Almost surely, 220321211200 is an apocalyptic number.

20321211200 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 20321211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25090343520).

20321211200 is an abundant number, since it is smaller than the sum of its proper divisors (29859475840).

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

20321211200 is a wasteful number, since it uses less digits than its factorization.

20321211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45184 (or 45169 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 20321211200 its reverse (211212302), we get a palindrome (20532423502).

It can be divided in two parts, 203212 and 11200, that added together give a palindrome (214412).

The spelling of 20321211200 in words is "twenty billion, three hundred twenty-one million, two hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 283 320 400 566 800 1132 1415 1600 2264 2830 4528 5660 7075 9056 11320 14150 18112 22640 28300 44879 45280 56600 89758 90560 113200 179516 224395 226400 359032 448790 452800 718064 897580 1121975 1436128 1795160 2243950 2872256 3590320 4487900 7180640 8975800 12700757 14361280 17951600 25401514 35903200 50803028 63503785 71806400 101606056 127007570 203212112 254015140 317518925 406424224 508030280 635037850 812848448 1016060560 1270075700 2032121120 2540151400 4064242240 5080302800 10160605600 20321211200