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11303312020 = 225711132919469
BaseRepresentation
bin10101000011011101…
…01101101010010100
31002011202011202002221
422201232231222110
5141122121441040
65105341112124
7550051365310
oct124156555224
932152152087
1011303312020
114880474690
122235558644
1310b1a14b10
147932a6b40
1546250474a
hex2a1bada94

11303312020 has 192 divisors, whose sum is σ = 32971276800. Its totient is φ = 3139799040.

The previous prime is 11303311993. The next prime is 11303312023. The reversal of 11303312020 is 2021330311.

11303312020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11303311985 and 11303312003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11303312023) by changing a digit.

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, 570846 + ... + 590314.

It is an arithmetic number, because the mean of its divisors is an integer number (171725400).

Almost surely, 211303312020 is an apocalyptic number.

11303312020 is a gapful number since it is divisible by the number (10) 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 11303312020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16485638400).

11303312020 is an abundant number, since it is smaller than the sum of its proper divisors (21667964780).

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

11303312020 is a wasteful number, since it uses less digits than its factorization.

11303312020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19538 (or 19536 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 11303312020 its reverse (2021330311), we get a palindrome (13324642331).

It can be divided in two parts, 11303 and 312020, that added together give a palindrome (323323).

The spelling of 11303312020 in words is "eleven billion, three hundred three million, three hundred twelve thousand, twenty".