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20010232321200 = 24345211318321821
BaseRepresentation
bin1001000110010111111101…
…10010100001010010110000
32121211221220111101021120000
410203023332302201102300
510110321423433234300
6110320323540150000
74133456132225052
oct443137662412260
977757814337500
1020010232321200
116415323530440
1222b214a398300
13b21c59163b74
144d27011b78d2
1524a7a3334c00
hex1232feca14b0

20010232321200 has 1200 divisors, whose sum is σ = 81849083323392. Its totient is φ = 4637710080000.

The previous prime is 20010232321193. The next prime is 20010232321201. The reversal of 20010232321200 is 212323201002.

20010232321200 is a `hidden beast` number, since 20 + 0 + 102 + 323 + 21 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20010232321201) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 917006290 + ... + 917028110.

Almost surely, 220010232321200 is an apocalyptic number.

20010232321200 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 20010232321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40924541661696).

20010232321200 is an abundant number, since it is smaller than the sum of its proper divisors (61838851002192).

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

20010232321200 is a wasteful number, since it uses less digits than its factorization.

20010232321200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21976 (or 21956 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20010232321200 its reverse (212323201002), we get a palindrome (20222555522202).

The spelling of 20010232321200 in words is "twenty trillion, ten billion, two hundred thirty-two million, three hundred twenty-one thousand, two hundred".