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30020244100 = 22527115373561
BaseRepresentation
bin11011111101010110…
…001001001010000100
32212111011101102001121
4123331112021022010
5442440140302400
621442514003324
72111633602360
oct337526111204
985434342047
1030020244100
11118057107a0
125999876544
132aa5632662
14164add82a0
15baa7c721a
hex6fd589284

30020244100 has 144 divisors (see below), whose sum is σ = 82751953536. Its totient is φ = 9180288000.

The previous prime is 30020244077. The next prime is 30020244109. The reversal of 30020244100 is 144202003.

It is not an unprimeable number, because it can be changed into a prime (30020244109) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 371320 + ... + 444880.

It is an arithmetic number, because the mean of its divisors is an integer number (574666344).

Almost surely, 230020244100 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 30020244100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41375976768).

30020244100 is an abundant number, since it is smaller than the sum of its proper divisors (52731709436).

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

30020244100 is a wasteful number, since it uses less digits than its factorization.

30020244100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73646 (or 73639 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 30020244100 its reverse (144202003), we get a palindrome (30164446103).

The spelling of 30020244100 in words is "thirty billion, twenty million, two hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 53 55 70 77 100 106 110 140 154 175 212 220 265 275 308 350 371 385 530 550 583 700 742 770 1060 1100 1166 1325 1484 1540 1855 1925 2332 2650 2915 3710 3850 4081 5300 5830 7420 7700 8162 9275 11660 14575 16324 18550 20405 29150 37100 40810 58300 73561 81620 102025 147122 204050 294244 367805 408100 514927 735610 809171 1029854 1471220 1618342 1839025 2059708 2574635 3236684 3678050 3898733 4045855 5149270 5664197 7356100 7797466 8091710 10298540 11328394 12873175 15594932 16183420 19493665 20229275 22656788 25746350 27291131 28320985 38987330 40458550 42886063 51492700 54582262 56641970 77974660 80917100 85772126 97468325 109164524 113283940 136455655 141604925 171544252 194936650 214430315 272911310 283209850 300202441 389873300 428860630 545822620 566419700 600404882 682278275 857721260 1072151575 1200809764 1364556550 1501012205 2144303150 2729113100 3002024410 4288606300 6004048820 7505061025 15010122050 30020244100