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30121313130 = 23351923298803
BaseRepresentation
bin11100000011010111…
…101100001101101010
32212202012120020201000
4130003113230031222
5443142024010010
621500524135430
72114301636306
oct340327541552
985665506630
1030121313130
1111857772417
125a07697576
132ac055b90c
14165a5c6d06
15bb45dd7c0
hex7035ec36a

30121313130 has 256 divisors, whose sum is σ = 91279872000. Its totient is φ = 7026953472.

The previous prime is 30121313083. The next prime is 30121313143. The reversal of 30121313130 is 3131312103.

It is a happy number.

30121313130 is a `hidden beast` number, since 301 + 21 + 31 + 313 + 0 = 666.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3417309 + ... + 3426111.

It is an arithmetic number, because the mean of its divisors is an integer number (356562000).

Almost surely, 230121313130 is an apocalyptic number.

30121313130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30121313130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45639936000).

30121313130 is an abundant number, since it is smaller than the sum of its proper divisors (61158558870).

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

30121313130 is a wasteful number, since it uses less digits than its factorization.

30121313130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8890 (or 8884 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 30121313130 its reverse (3131312103), we get a palindrome (33252625233).

The spelling of 30121313130 in words is "thirty billion, one hundred twenty-one million, three hundred thirteen thousand, one hundred thirty".