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1055110600600 = 23527325216101
BaseRepresentation
bin11110101101010010111…
…11100001011110011000
310201212102110202000011121
433112221133201132120
5114241331303204400
62124413333535024
7136141424062000
oct17265137413630
93655373660147
101055110600600
11377519477901
121505a24a4474
137865ba7c994
14390d37c9000
151c6a4b0d21a
hexf5a97e1798

1055110600600 has 192 divisors, whose sum is σ = 2862399384000. Its totient is φ = 361549440000.

The previous prime is 1055110600559. The next prime is 1055110600601. The reversal of 1055110600600 is 60060115501.

It is a super-2 number, since 2×10551106006002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1055110600601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172937550 + ... + 172943650.

It is an arithmetic number, because the mean of its divisors is an integer number (14908330125).

Almost surely, 21055110600600 is an apocalyptic number.

1055110600600 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 1055110600600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431199692000).

1055110600600 is an abundant number, since it is smaller than the sum of its proper divisors (1807288783400).

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

1055110600600 is a wasteful number, since it uses less digits than its factorization.

1055110600600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8659 (or 8636 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

The spelling of 1055110600600 in words is "one trillion, fifty-five billion, one hundred ten million, six hundred thousand, six hundred".