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30320441122504 = 23132891731456541
BaseRepresentation
bin1101110010011100001110…
…00111110101111011001000
310222100121100200012101210111
412321032013013311323020
512433232230411410004
6144253003544324104
76246402540112111
oct671160707657310
9128317320171714
1030320441122504
11972a91061a225
12349837a473634
1313bc289154800
1476b735201208
15378a86cdba04
hex1b93871f5ec8

30320441122504 has 96 divisors (see below), whose sum is σ = 62611933991400. Its totient is φ = 13756822210560.

The previous prime is 30320441122481. The next prime is 30320441122541. The reversal of 30320441122504 is 40522114402303.

30320441122504 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 190244268900 + 30130196853604 = 436170^2 + 5489098^2 .

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, 20088474 + ... + 21545014.

Almost surely, 230320441122504 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 30320441122504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31305966995700).

30320441122504 is an abundant number, since it is smaller than the sum of its proper divisors (32291492868896).

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

30320441122504 is a wasteful number, since it uses less digits than its factorization.

30320441122504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1456835 (or 1456818 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

Adding to 30320441122504 its reverse (40522114402303), we get a palindrome (70842555524807).

The spelling of 30320441122504 in words is "thirty trillion, three hundred twenty billion, four hundred forty-one million, one hundred twenty-two thousand, five hundred four".

Divisors: 1 2 4 8 13 26 52 89 104 169 173 178 338 346 356 676 692 712 1157 1352 1384 2249 2314 4498 4628 8996 9256 15041 15397 17992 29237 30082 30794 58474 60164 61588 116948 120328 123176 200161 233896 400322 800644 1456541 1601288 2602093 2913082 5204186 5826164 10408372 11652328 18935033 20816744 37870066 75740132 129632149 151480264 246155429 251981593 259264298 492310858 503963186 518528596 984621716 1007926372 1037057192 1685217937 1969243432 2015852744 3275760709 3370435874 6551521418 6740871748 13103042836 13481743496 21907833181 22426361777 26206085672 42584889217 43815666362 44852723554 85169778434 87631332724 89705447108 170339556868 175262665448 179410894216 291542703101 340679113736 583085406202 1166170812404 2332341624808 3790055140313 7580110280626 15160220561252 30320441122504