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30130211311200 = 2532527111317472393
BaseRepresentation
bin1101101100111001111001…
…00010101100111001100000
310221200102100020020201120200
412312130330202230321200
512422123133043424300
6144025343351305200
76226556503311210
oct666347442547140
9127612306221520
1030130211311200
119667172879440
12346752a97b200
1313a736102b6a0
1476244a940240
15373b5147d200
hex1b673c8ace60

30130211311200 has 1728 divisors, whose sum is σ = 142794157588992. Its totient is φ = 5773499596800.

The previous prime is 30130211311183. The next prime is 30130211311217. The reversal of 30130211311200 is 211311203103.

30130211311200 is a `hidden beast` number, since 3 + 0 + 130 + 21 + 1 + 311 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (30130211311183) and next prime (30130211311217).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 287 ways as a sum of consecutive naturals, for example, 12590977204 + ... + 12590979596.

It is an arithmetic number, because the mean of its divisors is an integer number (82635507864).

Almost surely, 230130211311200 is an apocalyptic number.

30130211311200 is a gapful number since it is divisible by the number (30) 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 30130211311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71397078794496).

30130211311200 is an abundant number, since it is smaller than the sum of its proper divisors (112663946277792).

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

30130211311200 is a wasteful number, since it uses less digits than its factorization.

30130211311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4197 (or 4181 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 30130211311200 its reverse (211311203103), we get a palindrome (30341522514303).

The spelling of 30130211311200 in words is "thirty trillion, one hundred thirty billion, two hundred eleven million, three hundred eleven thousand, two hundred".