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111054551040 = 211345191701
BaseRepresentation
bin110011101101101011…
…1011111100000000000
3101121122120201201110000
41213123113133200000
53304414431113130
6123003500240000
711011015052166
oct1473327374000
9347576651400
10111054551040
11431094429a4
1219633b40000
13a61ab26ac4
145537291236
152d4e9a2260
hex19db5df800

111054551040 has 480 divisors, whose sum is σ = 400708788480. Its totient is φ = 29417472000.

The previous prime is 111054551021. The next prime is 111054551059. The reversal of 111054551040 is 40155450111.

111054551040 is a `hidden beast` number, since 1 + 1 + 10 + 545 + 5 + 104 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (111054551021) and next prime (111054551059).

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×1110545510402 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 111054550995 and 111054551013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 158422690 + ... + 158423390.

It is an arithmetic number, because the mean of its divisors is an integer number (834809976).

Almost surely, 2111054551040 is an apocalyptic number.

111054551040 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 111054551040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200354394240).

111054551040 is an abundant number, since it is smaller than the sum of its proper divisors (289654237440).

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

111054551040 is an equidigital number, since it uses as much as digits as its factorization.

111054551040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

The spelling of 111054551040 in words is "one hundred eleven billion, fifty-four million, five hundred fifty-one thousand, forty".