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110064109056 = 2931121274663
BaseRepresentation
bin110011010000001010…
…1010000011000000000
3101112002120001001110120
41212200111100120000
53300402402442211
6122321315500240
710644330330216
oct1464025203000
9345076031416
10110064109056
1142750358200
12193b82b7680
13a4c0885265
145481910cb6
152ce2a5cd06
hex19a0550600

110064109056 has 240 divisors, whose sum is σ = 324904538112. Its totient is φ = 33083043840.

The previous prime is 110064109037. The next prime is 110064109091. The reversal of 110064109056 is 650901460011.

It is a super-2 number, since 2×1100641090562 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23601381 + ... + 23606043.

Almost surely, 2110064109056 is an apocalyptic number.

110064109056 is a gapful number since it is divisible by the number (16) 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 110064109056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162452269056).

110064109056 is an abundant number, since it is smaller than the sum of its proper divisors (214840429056).

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

110064109056 is a wasteful number, since it uses less digits than its factorization.

110064109056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4833 (or 4806 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

Adding to 110064109056 its reverse (650901460011), we get a palindrome (760965569067).

The spelling of 110064109056 in words is "one hundred ten billion, sixty-four million, one hundred nine thousand, fifty-six".