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1108357120 = 21251323181
BaseRepresentation
bin100001000010000…
…0011000000000000
32212020120101010201
41002010003000000
54232214411440
6301551534544
736315610603
oct10204030000
92766511121
101108357120
11519703122
1226b22a454
13148818820
14a72b633a
156748719a
hex42103000

1108357120 has 208 divisors, whose sum is σ = 3005376192. Its totient is φ = 389283840.

The previous prime is 1108357111. The next prime is 1108357127. The reversal of 1108357120 is 217538011.

It is a tau number, because it is divible by the number of its divisors (208).

It is not an unprimeable number, because it can be changed into a prime (1108357127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6123430 + ... + 6123610.

It is an arithmetic number, because the mean of its divisors is an integer number (14448924).

Almost surely, 21108357120 is an apocalyptic number.

1108357120 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 1108357120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502688096).

1108357120 is an abundant number, since it is smaller than the sum of its proper divisors (1897019072).

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

1108357120 is a wasteful number, since it uses less digits than its factorization.

1108357120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 28.

The square root of 1108357120 is about 33291.9978373182. The cubic root of 1108357120 is about 1034.8877316049.

The spelling of 1108357120 in words is "one billion, one hundred eight million, three hundred fifty-seven thousand, one hundred twenty".