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30132013312 = 281913831609
BaseRepresentation
bin11100000100000000…
…100000100100000000
32212202221200212121001
4130010000200210000
5443202243411222
621501545341344
72114461613212
oct340400404400
985687625531
1030132013312
1111862810645
125a0b197854
132ac283709b
14165bbb05b2
15bb5503e27
hex704020900

30132013312 has 72 divisors (see below), whose sum is σ = 60656762880. Its totient is φ = 14938705920.

The previous prime is 30132013279. The next prime is 30132013333. The reversal of 30132013312 is 21331023103.

It is a self number, because there is not a number n which added to its sum of digits gives 30132013312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18726364 + ... + 18727972.

It is an arithmetic number, because the mean of its divisors is an integer number (842455040).

Almost surely, 230132013312 is an apocalyptic number.

30132013312 is a gapful number since it is divisible by the number (32) 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 30132013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30328381440).

30132013312 is an abundant number, since it is smaller than the sum of its proper divisors (30524749568).

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

30132013312 is a wasteful number, since it uses less digits than its factorization.

30132013312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2199 (or 2185 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 30132013312 its reverse (21331023103), we get a palindrome (51463036415).

The spelling of 30132013312 in words is "thirty billion, one hundred thirty-two million, thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 191 256 382 383 764 766 1528 1532 1609 3056 3064 3218 6112 6128 6436 12224 12256 12872 24448 24512 25744 48896 49024 51488 73153 98048 102976 146306 205952 292612 307319 411904 585224 614638 616247 1170448 1229276 1232494 2340896 2458552 2464988 4681792 4917104 4929976 9363584 9834208 9859952 18727168 19668416 19719904 39336832 39439808 78673664 78879616 117703177 157759232 235406354 470812708 941625416 1883250832 3766501664 7533003328 15066006656 30132013312