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109813540320 = 25345112239293
BaseRepresentation
bin110011001000101100…
…1011010010111100000
3101111110002112211210000
41212101121122113200
53244344231242240
6122240405140000
710635165456141
oct1462131322740
9344402484700
10109813540320
1142631976200
12193483ba600
13a4809a3a33
14545a527ac8
152ccaa65430
hex199165a5e0

109813540320 has 720 divisors, whose sum is σ = 429227346240. Its totient is φ = 26419599360.

The previous prime is 109813540313. The next prime is 109813540321. The reversal of 109813540320 is 23045318901.

109813540320 is a `hidden beast` number, since 1 + 0 + 9 + 81 + 3 + 540 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×1098135403202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109813540321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 374790094 + ... + 374790386.

It is an arithmetic number, because the mean of its divisors is an integer number (596149092).

Almost surely, 2109813540320 is an apocalyptic number.

109813540320 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 109813540320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214613673120).

109813540320 is an abundant number, since it is smaller than the sum of its proper divisors (319413805920).

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

109813540320 is a wasteful number, since it uses less digits than its factorization.

109813540320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 109813540320 in words is "one hundred nine billion, eight hundred thirteen million, five hundred forty thousand, three hundred twenty".