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30304312120 = 23529191136777
BaseRepresentation
bin11100001110010001…
…110001101100111000
32220012221220120010101
4130032101301230320
5444030400441440
621531022325144
72121653255125
oct341621615470
986187816111
1030304312120
1111940aa3255
125a58a297b4
132b1c442844
141676a2174c
15bc56da69a
hex70e471b38

30304312120 has 64 divisors (see below), whose sum is σ = 70905715200. Its totient is φ = 11642373120.

The previous prime is 30304312117. The next prime is 30304312127. The reversal of 30304312120 is 2121340303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30304312127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153172 + ... + 289948.

It is an arithmetic number, because the mean of its divisors is an integer number (1107901800).

Almost surely, 230304312120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30304312120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35452857600).

30304312120 is an abundant number, since it is smaller than the sum of its proper divisors (40601403080).

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

30304312120 is a wasteful number, since it uses less digits than its factorization.

30304312120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137008 (or 137004 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 30304312120 its reverse (2121340303), we get a palindrome (32425652423).

The spelling of 30304312120 in words is "thirty billion, three hundred four million, three hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 191 232 290 382 580 764 955 1160 1528 1910 3820 5539 7640 11078 22156 27695 44312 55390 110780 136777 221560 273554 547108 683885 1094216 1367770 2735540 3966533 5471080 7933066 15866132 19832665 26124407 31732264 39665330 52248814 79330660 104497628 130622035 158661320 208995256 261244070 522488140 757607803 1044976280 1515215606 3030431212 3788039015 6060862424 7576078030 15152156060 30304312120