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12030145515630 = 232511371249262949
BaseRepresentation
bin1010111100001111110010…
…0011001101000001101110
31120121001220112011222002100
42233003330203031001232
53034100214223000010
641330323401035530
72351102135453124
oct257037443150156
946531815158070
1012030145515630
113918a57577990
121423633485ba6
1369358cc736b8
142d83954a5914
1515cde96e02c0
hexaf0fc8cd06e

12030145515630 has 192 divisors, whose sum is σ = 35072271000000. Its totient is φ = 2835294658560.

The previous prime is 12030145515629. The next prime is 12030145515631. The reversal of 12030145515630 is 3651554103021.

12030145515630 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 0 + 1 + 4 + 5 + 5 + 15 + 630 = 666.

It is an interprime number because it is at equal distance from previous prime (12030145515629) and next prime (12030145515631).

It is a super-2 number, since 2×120301455156302 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12030145515631) by changing a digit.

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, 45619396 + ... + 45882344.

It is an arithmetic number, because the mean of its divisors is an integer number (182668078125).

Almost surely, 212030145515630 is an apocalyptic number.

12030145515630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12030145515630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17536135500000).

12030145515630 is an abundant number, since it is smaller than the sum of its proper divisors (23042125484370).

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

12030145515630 is a wasteful number, since it uses less digits than its factorization.

12030145515630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264259 (or 264256 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

Adding to 12030145515630 its reverse (3651554103021), we get a palindrome (15681699618651).

The spelling of 12030145515630 in words is "twelve trillion, thirty billion, one hundred forty-five million, five hundred fifteen thousand, six hundred thirty".