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103445231400 = 233252712596521
BaseRepresentation
bin110000001010111010…
…0001111011100101000
3100220000021110020020200
41200111310033130220
53143323434401100
6115304434152200
710321316646630
oct1402564173450
9326007406220
10103445231400
113a964155485
121806b722660
1399a75112c4
1450148436c0
152a56928e00
hex1815d0f728

103445231400 has 288 divisors, whose sum is σ = 397408939200. Its totient is φ = 23622220800.

The previous prime is 103445231371. The next prime is 103445231423. The reversal of 103445231400 is 4132544301.

It is a happy number.

103445231400 is a `hidden beast` number, since 1 + 0 + 344 + 5 + 2 + 314 + 0 + 0 = 666.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 15860140 + ... + 15866660.

It is an arithmetic number, because the mean of its divisors is an integer number (1379892150).

Almost surely, 2103445231400 is an apocalyptic number.

103445231400 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 103445231400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198704469600).

103445231400 is an abundant number, since it is smaller than the sum of its proper divisors (293963707800).

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

103445231400 is a wasteful number, since it uses less digits than its factorization.

103445231400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7809 (or 7797 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 103445231400 its reverse (4132544301), we get a palindrome (107577775701).

The spelling of 103445231400 in words is "one hundred three billion, four hundred forty-five million, two hundred thirty-one thousand, four hundred".