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12323220201300 = 22352316145747533
BaseRepresentation
bin1011001101010011100100…
…1010011001111101010100
31121122002101101220120112010
42303110321022121331110
53103400423332420200
642113113104424220
72411215612256631
oct263247112317524
947562341816463
1012323220201300
113a212805a1008
1214703a5618070
136b50c80b8878
1430863896d188
1516584ddd9150
hexb3539299f54

12323220201300 has 288 divisors, whose sum is σ = 37491363288064. Its totient is φ = 3121141248000.

The previous prime is 12323220201289. The next prime is 12323220201319. The reversal of 12323220201300 is 310202232321.

It is a happy number.

It is a super-2 number, since 2×123232202013002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 259232334 + ... + 259279866.

Almost surely, 212323220201300 is an apocalyptic number.

12323220201300 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 12323220201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18745681644032).

12323220201300 is an abundant number, since it is smaller than the sum of its proper divisors (25168143086764).

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

12323220201300 is a wasteful number, since it uses less digits than its factorization.

12323220201300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48099 (or 48092 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 12323220201300 its reverse (310202232321), we get a palindrome (12633422433621).

The spelling of 12323220201300 in words is "twelve trillion, three hundred twenty-three billion, two hundred twenty million, two hundred one thousand, three hundred".