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20311212130200 = 233252101503222113
BaseRepresentation
bin1001001111001000100101…
…00101010111111110011000
32122220201210021222202120100
410213210102211113332120
510130234330301131300
6111110501514055400
74164302525335425
oct447442245277630
978821707882510
1020311212130200
116520a3380a742
122340547a1a560
13b44453c805c4
145030d44ccd4c
1525351ba37700
hex127912957f98

20311212130200 has 288 divisors, whose sum is σ = 69024448715040. Its totient is φ = 5352010752000.

The previous prime is 20311212130163. The next prime is 20311212130201. The reversal of 20311212130200 is 203121211302.

20311212130200 is a `hidden beast` number, since 2 + 0 + 311 + 2 + 121 + 30 + 200 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20311212130201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 91334344 + ... + 91556456.

It is an arithmetic number, because the mean of its divisors is an integer number (239668224705).

Almost surely, 220311212130200 is an apocalyptic number.

20311212130200 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 20311212130200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34512224357520).

20311212130200 is an abundant number, since it is smaller than the sum of its proper divisors (48713236584840).

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

20311212130200 is a wasteful number, since it uses less digits than its factorization.

20311212130200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222739 (or 222727 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 20311212130200 its reverse (203121211302), we get a palindrome (20514333341502).

The spelling of 20311212130200 in words is "twenty trillion, three hundred eleven billion, two hundred twelve million, one hundred thirty thousand, two hundred".