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30303023323104 = 25337171568318793
BaseRepresentation
bin1101110001111011110001…
…11100001101011111100000
310222021221101210112111212000
412320331320330031133200
512432441042432314404
6144241003340404000
76245215111213620
oct670757074153740
9128257353474760
1030303023323104
119723492738794
123494b19246600
1313ba74172a22c
1476a961c46880
153783b7ad7339
hex1b8f78f0d7e0

30303023323104 has 384 divisors, whose sum is σ = 106964358036480. Its totient is φ = 8147758989312.

The previous prime is 30303023323051. The next prime is 30303023323229. The reversal of 30303023323104 is 40132332030303.

It is a happy number.

30303023323104 is a `hidden beast` number, since 3 + 0 + 30 + 302 + 3 + 323 + 1 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1612453932 + ... + 1612472724.

It is an arithmetic number, because the mean of its divisors is an integer number (278553015720).

Almost surely, 230303023323104 is an apocalyptic number.

30303023323104 is a gapful number since it is divisible by the number (34) 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 30303023323104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53482179018240).

30303023323104 is an abundant number, since it is smaller than the sum of its proper divisors (76661334713376).

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

30303023323104 is a wasteful number, since it uses less digits than its factorization.

30303023323104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34519 (or 34505 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 30303023323104 its reverse (40132332030303), we get a palindrome (70435355353407).

The spelling of 30303023323104 in words is "thirty trillion, three hundred three billion, twenty-three million, three hundred twenty-three thousand, one hundred four".