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20223431301320 = 235131737229270001
BaseRepresentation
bin1001001100100101000100…
…11100000101100011001000
32122121100012200212121220222
410212102202130011203020
510122320041403120240
6111002303250205212
74155044323525502
oct446224234054310
978540180777828
1020223431301320
116497788822775
12232752a283808
13b390a4b42a40
144dcb6821cd72
152510d0412eb5
hex1264a27058c8

20223431301320 has 256 divisors, whose sum is σ = 53520660446400. Its totient is φ = 6808043520000.

The previous prime is 20223431301277. The next prime is 20223431301347. The reversal of 20223431301320 is 2310313432202.

It is a happy number.

It can be written as a sum of positive squares in 32 ways, for example, as 2628879589924 + 17594551711396 = 1621382^2 + 4194586^2 .

It is a super-3 number, since 3×202234313013203 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 20223431301320.

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 63 ways as a sum of consecutive naturals, for example, 74766320 + ... + 75036320.

Almost surely, 220223431301320 is an apocalyptic number.

20223431301320 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 20223431301320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26760330223200).

20223431301320 is an abundant number, since it is smaller than the sum of its proper divisors (33297229145080).

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

20223431301320 is a wasteful number, since it uses less digits than its factorization.

20223431301320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270308 (or 270304 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 20223431301320 its reverse (2310313432202), we get a palindrome (22533744733522).

The spelling of 20223431301320 in words is "twenty trillion, two hundred twenty-three billion, four hundred thirty-one million, three hundred one thousand, three hundred twenty".