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103323230640 = 2435572313499
BaseRepresentation
bin110000000111010001…
…0110110000110110000
3100212200202212221200000
41200032202312012300
53143101221340030
6115244355230000
710315305653400
oct1401642660660
9325622787600
10103323230640
113a9012a7503
12180368a8300
1399881667c6
145002566800
152a4ad7a860
hex180e8b61b0

103323230640 has 720 divisors, whose sum is σ = 432222336000. Its totient is φ = 22848376320.

The previous prime is 103323230629. The next prime is 103323230701. The reversal of 103323230640 is 46032323301.

It is a happy number.

103323230640 is a `hidden beast` number, since 1 + 0 + 332 + 323 + 0 + 6 + 4 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 29527611 + ... + 29531109.

It is an arithmetic number, because the mean of its divisors is an integer number (600308800).

Almost surely, 2103323230640 is an apocalyptic number.

103323230640 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 103323230640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216111168000).

103323230640 is an abundant number, since it is smaller than the sum of its proper divisors (328899105360).

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

103323230640 is a wasteful number, since it uses less digits than its factorization.

103323230640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3572 (or 3547 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 103323230640 its reverse (46032323301), we get a palindrome (149355553941).

The spelling of 103323230640 in words is "one hundred three billion, three hundred twenty-three million, two hundred thirty thousand, six hundred forty".