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1325022508320 = 253572523107717
BaseRepresentation
bin10011010010000001011…
…111101111010100100000
311200200010002121120122120
4103102001133233110200
5133202121230231240
62452412410504240
7164505202326600
oct23220137572440
94620102546576
101325022508320
11470a36732035
1219496b435080
1397c451b1994
14481ba910c00
1524700a91ad0
hex134817ef520

1325022508320 has 288 divisors, whose sum is σ = 4864589690688. Its totient is φ = 302280394752.

The previous prime is 1325022508297. The next prime is 1325022508321. The reversal of 1325022508320 is 238052205231.

It is not an unprimeable number, because it can be changed into a prime (1325022508321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12247102 + ... + 12354818.

It is an arithmetic number, because the mean of its divisors is an integer number (16890936426).

Almost surely, 21325022508320 is an apocalyptic number.

1325022508320 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 1325022508320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2432294845344).

1325022508320 is an abundant number, since it is smaller than the sum of its proper divisors (3539567182368).

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

1325022508320 is a wasteful number, since it uses less digits than its factorization.

1325022508320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108272 (or 108257 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 1325022508320 in words is "one trillion, three hundred twenty-five billion, twenty-two million, five hundred eight thousand, three hundred twenty".