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11330020032 = 2634147113271
BaseRepresentation
bin10101000110101001…
…00110001011000000
31002020121102122121120
422203110212023000
5141200441120112
65112133352240
7550524403242
oct124324461300
932217378546
1011330020032
114894556821
122242498680
1310b7406586
14796a5a092
15464a2ce8c
hex2a35262c0

11330020032 has 224 divisors, whose sum is σ = 31756161024. Its totient is φ = 3561062400.

The previous prime is 11330020007. The next prime is 11330020057. The reversal of 11330020032 is 23002003311.

It is an interprime number because it is at equal distance from previous prime (11330020007) and next prime (11330020057).

It is a junction number, because it is equal to n+sod(n) for n = 11330019993 and 11330020020.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41808057 + ... + 41808327.

It is an arithmetic number, because the mean of its divisors is an integer number (141768576).

Almost surely, 211330020032 is an apocalyptic number.

11330020032 is a gapful number since it is divisible by the number (12) 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 11330020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15878080512).

11330020032 is an abundant number, since it is smaller than the sum of its proper divisors (20426140992).

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

11330020032 is a wasteful number, since it uses less digits than its factorization.

11330020032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 11330020032 its reverse (23002003311), we get a palindrome (34332023343).

The spelling of 11330020032 in words is "eleven billion, three hundred thirty million, twenty thousand, thirty-two".