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11432301120 = 263452967227
BaseRepresentation
bin10101010010110101…
…10001001001000000
31002111201220001220000
422221122301021000
5141403132113440
65130225520000
7553205645652
oct125132611100
932451801800
1011432301120
114937266049
1222707a3000
131102668426
147a64826d2
1546d9d3730
hex2a96b1240

11432301120 has 560 divisors, whose sum is σ = 42884994240. Its totient is φ = 2886782976.

The previous prime is 11432301071. The next prime is 11432301163. The reversal of 11432301120 is 2110323411.

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

It is a junction number, because it is equal to n+sod(n) for n = 11432301093 and 11432301102.

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 79 ways as a sum of consecutive naturals, for example, 50362447 + ... + 50362673.

Almost surely, 211432301120 is an apocalyptic number.

11432301120 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 11432301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21442497120).

11432301120 is an abundant number, since it is smaller than the sum of its proper divisors (31452693120).

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

11432301120 is a wasteful number, since it uses less digits than its factorization.

11432301120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 333 counting only the distinct ones).

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

Adding to 11432301120 its reverse (2110323411), we get a palindrome (13542624531).

The spelling of 11432301120 in words is "eleven billion, four hundred thirty-two million, three hundred one thousand, one hundred twenty".