Search a number
-
+
30411022110 = 2357534615927
BaseRepresentation
bin11100010100101000…
…110101111100011110
32220111101200222201020
4130110220311330132
5444240210201420
621545353425010
72124420265020
oct342450657436
986441628636
1030411022110
1111996258027
125a8870b166
132b38595551
141686c7c010
15bcec68340
hex714a35f1e

30411022110 has 128 divisors (see below), whose sum is σ = 85185644544. Its totient is φ = 6803996160.

The previous prime is 30411022099. The next prime is 30411022111. The reversal of 30411022110 is 1122011403.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 30411022110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30411022111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5127967 + ... + 5133893.

It is an arithmetic number, because the mean of its divisors is an integer number (665512848).

Almost surely, 230411022110 is an apocalyptic number.

30411022110 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30411022110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42592822272).

30411022110 is an abundant number, since it is smaller than the sum of its proper divisors (54774622434).

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

30411022110 is a wasteful number, since it uses less digits than its factorization.

30411022110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6458.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 30411022110 its reverse (1122011403), we get a palindrome (31533033513).

The spelling of 30411022110 in words is "thirty billion, four hundred eleven million, twenty-two thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 53 70 105 106 159 210 265 318 371 461 530 742 795 922 1113 1383 1590 1855 2226 2305 2766 3227 3710 4610 5565 5927 6454 6915 9681 11130 11854 13830 16135 17781 19362 24433 29635 32270 35562 41489 48405 48866 59270 73299 82978 88905 96810 122165 124467 146598 171031 177810 207445 244330 248934 314131 342062 366495 414890 513093 622335 628262 732990 855155 942393 1026186 1244670 1570655 1710310 1884786 2198917 2565465 2732347 3141310 4397834 4711965 5130930 5464694 6596751 8197041 9423930 10994585 13193502 13661735 16394082 19126429 21989170 27323470 32983755 38252858 40985205 57379287 65967510 81970410 95632145 114758574 144814391 191264290 286896435 289628782 434443173 573792870 724071955 868886346 1013700737 1448143910 2027401474 2172215865 3041102211 4344431730 5068503685 6082204422 10137007370 15205511055 30411022110