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30300131300 = 22521017733881
BaseRepresentation
bin11100001110000001…
…110100111111100100
32220012200001011010012
4130032001310333210
5444023313200200
621530352545352
72121602603135
oct341601647744
986180034105
1030300131300
11119396a812a
125a57552258
132b1b60a89a
141676253c8c
15bc5161a35
hex70e074fe4

30300131300 has 72 divisors (see below), whose sum is σ = 66505321512. Its totient is φ = 11981440000.

The previous prime is 30300131293. The next prime is 30300131311. The reversal of 30300131300 is 313100303.

It can be written as a sum of positive squares in 12 ways, for example, as 5517815524 + 24782315776 = 74282^2 + 157424^2 .

30300131300 is a modest number, since divided by 131300 gives 30300 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7805360 + ... + 7809240.

It is an arithmetic number, because the mean of its divisors is an integer number (923685021).

Almost surely, 230300131300 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 30300131300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33252660756).

30300131300 is an abundant number, since it is smaller than the sum of its proper divisors (36205190212).

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

30300131300 is a wasteful number, since it uses less digits than its factorization.

30300131300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4769 (or 4762 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 14.

Adding to 30300131300 its reverse (313100303), we get a palindrome (30613231603).

The spelling of 30300131300 in words is "thirty billion, three hundred million, one hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 404 505 773 1010 1546 2020 2525 3092 3865 3881 5050 7730 7762 10100 15460 15524 19325 19405 38650 38810 77300 77620 78073 97025 156146 194050 312292 388100 390365 391981 780730 783962 1561460 1567924 1951825 1959905 3000013 3903650 3919810 6000026 7807300 7839620 9799525 12000052 15000065 19599050 30000130 39198100 60000260 75000325 150000650 300001300 303001313 606002626 1212005252 1515006565 3030013130 6060026260 7575032825 15150065650 30300131300