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12302035130000 = 245471159270791
BaseRepresentation
bin1011001100000100101001…
…1011110001011010010000
31121120001200222110110001202
42303001022123301122100
53103024031443130000
642055251003050332
72406535620162440
oct263011233613220
947501628413052
1012302035130000
113a1329a132420
1214682728109a8
136b3100045815
143075c9122120
1516500e0d0dd5
hexb304a6f1690

12302035130000 has 400 divisors, whose sum is σ = 37763395845120. Its totient is φ = 3769396800000.

The previous prime is 12302035129991. The next prime is 12302035130003. The reversal of 12302035130000 is 3153020321.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (12302035130003) 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 79 ways as a sum of consecutive naturals, for example, 45294605 + ... + 45565395.

Almost surely, 212302035130000 is an apocalyptic number.

12302035130000 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 12302035130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18881697922560).

12302035130000 is an abundant number, since it is smaller than the sum of its proper divisors (25461360715120).

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

12302035130000 is a wasteful number, since it uses less digits than its factorization.

12302035130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270896 (or 270875 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

Adding to 12302035130000 its reverse (3153020321), we get a palindrome (12305188150321).

The spelling of 12302035130000 in words is "twelve trillion, three hundred two billion, thirty-five million, one hundred thirty thousand".