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1131328539000 = 23375311313741
BaseRepresentation
bin10000011101101000011…
…011111000100101111000
311000011011020020110000000
4100131220123320211320
5122013430101222000
62223420344513000
7144510242625642
oct20355033704570
94004136213000
101131328539000
113a6880515040
1216331377b760
13828b748b30a
143ca84141892
151e666056000
hex107686f8978

1131328539000 has 2048 divisors, whose sum is σ = 4703853772800. Its totient is φ = 251942400000.

The previous prime is 1131328538993. The next prime is 1131328539053. The reversal of 1131328539000 is 9358231311.

1131328539000 is a `hidden beast` number, since 113 + 1 + 3 + 2 + 8 + 539 + 0 + 0 + 0 = 666.

It is a super-3 number, since 3×11313285390003 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 27593378980 + ... + 27593379020.

It is an arithmetic number, because the mean of its divisors is an integer number (2296803600).

Almost surely, 21131328539000 is an apocalyptic number.

1131328539000 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 1131328539000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2351926886400).

1131328539000 is an abundant number, since it is smaller than the sum of its proper divisors (3572525233800).

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

1131328539000 is a wasteful number, since it uses less digits than its factorization.

1131328539000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 1131328539000 in words is "one trillion, one hundred thirty-one billion, three hundred twenty-eight million, five hundred thirty-nine thousand".