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110700867420 = 2232511138115303
BaseRepresentation
bin110011100011001001…
…0010010111101011100
3101120201221012201201200
41213012102102331130
53303203410224140
6122504423435500
710666161563463
oct1470622227534
9346657181650
10110700867420
1142a47832190
12195555b5b90
13a592781060
1455023059da
152d2d8dc030
hex19c6492f5c

110700867420 has 288 divisors, whose sum is σ = 395058553344. Its totient is φ = 24737011200.

The previous prime is 110700867401. The next prime is 110700867449. The reversal of 110700867420 is 24768007011.

110700867420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20872489 + ... + 20877791.

It is an arithmetic number, because the mean of its divisors is an integer number (1371731088).

Almost surely, 2110700867420 is an apocalyptic number.

110700867420 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 110700867420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197529276672).

110700867420 is an abundant number, since it is smaller than the sum of its proper divisors (284357685924).

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

110700867420 is a wasteful number, since it uses less digits than its factorization.

110700867420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6153 (or 6148 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 110700867420 in words is "one hundred ten billion, seven hundred million, eight hundred sixty-seven thousand, four hundred twenty".