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220023020131200 = 273352112136773331
BaseRepresentation
bin110010000001110000011001…
…111101010001001110000000
31001212000222212120112101122000
4302001300121331101032000
5212314324121123144300
62055541102520544000
764226065356252516
oct6201603175211600
91055028776471560
10220023020131200
116411926996a700
1220815b28322000
1395a010a85cb10
143c492572d04b6
151a68484daec00
hexc81c19f51380

220023020131200 has 4608 divisors, whose sum is σ = 983603936985600. Its totient is φ = 47692136448000.

The previous prime is 220023020131177. The next prime is 220023020131241. The reversal of 220023020131200 is 2131020320022.

220023020131200 is a `hidden beast` number, since 2 + 2 + 0 + 0 + 230 + 201 + 31 + 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 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 575 ways as a sum of consecutive naturals, for example, 664722115035 + ... + 664722115365.

Almost surely, 2220023020131200 is an apocalyptic number.

220023020131200 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 220023020131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491801968492800).

220023020131200 is an abundant number, since it is smaller than the sum of its proper divisors (763580916854400).

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

220023020131200 is a wasteful number, since it uses less digits than its factorization.

220023020131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 505 counting only the distinct ones).

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

Adding to 220023020131200 its reverse (2131020320022), we get a palindrome (222154040451222).

The spelling of 220023020131200 in words is "two hundred twenty trillion, twenty-three billion, twenty million, one hundred thirty-one thousand, two hundred".