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11420529120 = 253357111319139
BaseRepresentation
bin10101010001011011…
…10111000111100000
31002110220201222202000
422220231313013200
5141342123412440
65125125324000
7553003616160
oct125055670740
932426658660
1011420529120
114930655620
122268866600
1311000a6150
147a4a9a5a0
1546c95a730
hex2a8b771e0

11420529120 has 1536 divisors, whose sum is σ = 56899584000. Its totient is φ = 2060328960.

The previous prime is 11420529103. The next prime is 11420529137. The reversal of 11420529120 is 2192502411.

11420529120 is a `hidden beast` number, since 1 + 14 + 2 + 0 + 529 + 120 = 666.

11420529120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11420529103) and next prime (11420529137).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 82162011 + ... + 82162149.

It is an arithmetic number, because the mean of its divisors is an integer number (37044000).

Almost surely, 211420529120 is an apocalyptic number.

11420529120 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 11420529120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28449792000).

11420529120 is an abundant number, since it is smaller than the sum of its proper divisors (45479054880).

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

11420529120 is a wasteful number, since it uses less digits than its factorization.

11420529120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 11420529120 in words is "eleven billion, four hundred twenty million, five hundred twenty-nine thousand, one hundred twenty".