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20223011132100 = 22345272433117673
BaseRepresentation
bin1001001100100100010010…
…11001010001001011000100
32122121022010102020211010000
410212102021121101023010
510122313211322211400
6111002153440401300
74155031032251400
oct446221131211304
978538112224100
1020223011132100
116497592631387
122327431616230
13b39038a8bcba
144dcb284c8100
152510a85b8600
hex1264896512c4

20223011132100 has 540 divisors, whose sum is σ = 76434636700884. Its totient is φ = 4611688058880.

The previous prime is 20223011132053. The next prime is 20223011132111. The reversal of 20223011132100 is 123111032202.

20223011132100 is a `hidden beast` number, since 2 + 0 + 2 + 230 + 111 + 321 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 9071565705216 + 11151445426884 = 3011904^2 + 3339378^2 .

It is a tau number, because it is divible by the number of its divisors (540).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 171798864 + ... + 171916536.

Almost surely, 220223011132100 is an apocalyptic number.

20223011132100 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 20223011132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38217318350442).

20223011132100 is an abundant number, since it is smaller than the sum of its proper divisors (56211625568784).

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

20223011132100 is a wasteful number, since it uses less digits than its factorization.

20223011132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118146 (or 118123 counting only the distinct ones).

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

Adding to 20223011132100 its reverse (123111032202), we get a palindrome (20346122164302).

The spelling of 20223011132100 in words is "twenty trillion, two hundred twenty-three billion, eleven million, one hundred thirty-two thousand, one hundred".