Search a number
-
+
30320130022100 = 225223292659170957
BaseRepresentation
bin1101110010011011101001…
…00101000101101011010100
310222100120112222210212021022
412321031310211011223110
512433231111241201400
6144252513032340312
76246362041600622
oct671156445055324
9128316488725238
1030320130022100
11972a770a53956
1234982b2244698
1313bc23986b329
1476b705b7c512
15378a69838b85
hex1b9374945ad4

30320130022100 has 144 divisors (see below), whose sum is σ = 71049871267200. Its totient is φ = 11196441822720.

The previous prime is 30320130022097. The next prime is 30320130022151. The reversal of 30320130022100 is 122003102303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177269822 + ... + 177440778.

It is an arithmetic number, because the mean of its divisors is an integer number (493401883800).

Almost surely, 230320130022100 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 30320130022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35524935633600).

30320130022100 is an abundant number, since it is smaller than the sum of its proper divisors (40729741245100).

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

30320130022100 is a wasteful number, since it uses less digits than its factorization.

30320130022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173682 (or 173675 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 30320130022100 its reverse (122003102303), we get a palindrome (30442133124403).

The spelling of 30320130022100 in words is "thirty trillion, three hundred twenty billion, one hundred thirty million, twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 29 46 50 58 92 100 115 116 145 230 290 460 575 580 667 725 1150 1334 1450 2300 2659 2668 2900 3335 5318 6670 10636 13295 13340 16675 26590 33350 53180 61157 66475 66700 77111 122314 132950 154222 170957 244628 265900 305785 308444 341914 385555 611570 683828 771110 854785 1223140 1528925 1542220 1709570 1773553 1927775 3057850 3419140 3547106 3855550 3932011 4273925 4957753 6115700 7094212 7711100 7864022 8547850 8867765 9915506 15728044 17095700 17735530 19660055 19831012 24788765 35471060 39320110 44338825 49577530 78640220 88677650 98300275 99155060 114028319 123943825 177355300 196600550 228056638 247887650 393201100 454574663 456113276 495775300 570141595 909149326 1140283190 1818298652 2272873315 2280566380 2850707975 4545746630 5701415950 9091493260 10455217249 11364366575 11402831900 13182665227 20910434498 22728733150 26365330454 41820868996 45457466300 52276086245 52730660908 65913326135 104552172490 131826652270 209104344980 261380431225 263653304540 303201300221 329566630675 522760862450 606402600442 659133261350 1045521724900 1212805200884 1318266522700 1516006501105 3032013002210 6064026004420 7580032505525 15160065011050 30320130022100