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20323211200 = 2652101312539
BaseRepresentation
bin10010111011010110…
…111001011111000000
31221110100201002122221
4102323112321133000
5313110220224300
613200352540424
71316425305415
oct227326713700
957410632587
1020323211200
118689a17416
123b32251714
131bbb641676
14dab1bc10c
157de31231a
hex4bb5b97c0

20323211200 has 84 divisors (see below), whose sum is σ = 50061159720. Its totient is φ = 8120611840.

The previous prime is 20323211179. The next prime is 20323211299. The reversal of 20323211200 is 211232302.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1614531 + ... + 1627069.

Almost surely, 220323211200 is an apocalyptic number.

20323211200 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 20323211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25030579860).

20323211200 is an abundant number, since it is smaller than the sum of its proper divisors (29737948520).

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

20323211200 is a wasteful number, since it uses less digits than its factorization.

20323211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13574 (or 13559 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 20323211200 its reverse (211232302), we get a palindrome (20534443502).

The spelling of 20323211200 in words is "twenty billion, three hundred twenty-three million, two hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1013 1600 2026 4052 5065 8104 10130 12539 16208 20260 25078 25325 32416 40520 50156 50650 62695 64832 81040 100312 101300 125390 162080 200624 202600 250780 313475 324160 401248 405200 501560 626950 802496 810400 1003120 1253900 1620800 2006240 2507800 4012480 5015600 10031200 12702007 20062400 25404014 50808028 63510035 101616056 127020070 203232112 254040140 317550175 406464224 508080280 635100350 812928448 1016160560 1270200700 2032321120 2540401400 4064642240 5080802800 10161605600 20323211200