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10453381120 = 21257137179
BaseRepresentation
bin10011011110001000…
…11111000000000000
3222222111212210002201
421233010133000000
5132402031143440
64445140122544
7520021162540
oct115704370000
928874783081
1010453381120
11448472aa56
122038996454
13ca78cc120
14712461320
15412ab819a
hex26f11f000

10453381120 has 416 divisors, whose sum is σ = 31705067520. Its totient is φ = 3220439040.

The previous prime is 10453381117. The next prime is 10453381121. The reversal of 10453381120 is 2118335401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (416).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10453381121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132321241 + ... + 132321319.

Almost surely, 210453381120 is an apocalyptic number.

10453381120 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 10453381120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15852533760).

10453381120 is an abundant number, since it is smaller than the sum of its proper divisors (21251686400).

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

10453381120 is an equidigital number, since it uses as much as digits as its factorization.

10453381120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The spelling of 10453381120 in words is "ten billion, four hundred fifty-three million, three hundred eighty-one thousand, one hundred twenty".