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30122110100 = 2252536319007
BaseRepresentation
bin11100000011011010…
…101110110010010100
32212202021001201221102
4130003122232302110
5443142230010400
621500553205232
72114311465655
oct340332566224
985667051842
1030122110100
1111858167175
125a07a00818
132ac077a5b4
14165a75352c
15bb46e99d5
hex7036aec94

30122110100 has 72 divisors (see below), whose sum is σ = 66711230208. Its totient is φ = 11801462400.

The previous prime is 30122110099. The next prime is 30122110159. The reversal of 30122110100 is 101122103.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3339797 + ... + 3348803.

It is an arithmetic number, because the mean of its divisors is an integer number (926544864).

Almost surely, 230122110100 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 30122110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33355615104).

30122110100 is an abundant number, since it is smaller than the sum of its proper divisors (36589120108).

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

30122110100 is a wasteful number, since it uses less digits than its factorization.

30122110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9705 (or 9698 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 30122110100 its reverse (101122103), we get a palindrome (30223232203).

It can be divided in two parts, 3012 and 2110100, that added together give a palindrome (2113112).

The spelling of 30122110100 in words is "thirty billion, one hundred twenty-two million, one hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 631 1060 1262 1325 2524 2650 3155 5300 6310 9007 12620 15775 18014 31550 33443 36028 45035 63100 66886 90070 133772 167215 180140 225175 334430 450350 477371 668860 836075 900700 954742 1672150 1909484 2386855 3344300 4773710 5683417 9547420 11366834 11934275 22733668 23868550 28417085 47737100 56834170 113668340 142085425 284170850 301221101 568341700 602442202 1204884404 1506105505 3012211010 6024422020 7530527525 15061055050 30122110100