Search a number
-
+
30020123310 = 23519101351991
BaseRepresentation
bin11011111101010101…
…101011101010101110
32212111011011021100220
4123331111223222232
5442440122421220
621442511232210
72111632560252
oct337525535256
985434137326
1030020123310
1111805638a71
125999818666
132aa55bc698
14164ada6262
15baa7a1540
hex6fd56baae

30020123310 has 64 divisors (see below), whose sum is σ = 75916638720. Its totient is φ = 7576398720.

The previous prime is 30020123257. The next prime is 30020123311. The reversal of 30020123310 is 1332102003.

It is a super-2 number, since 2×300201233102 (a number of 22 digits) contains 22 as substring.

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 30020123310.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30020123311) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 551415 + ... + 603405.

It is an arithmetic number, because the mean of its divisors is an integer number (1186197480).

Almost surely, 230020123310 is an apocalyptic number.

30020123310 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 30020123310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37958319360).

30020123310 is an abundant number, since it is smaller than the sum of its proper divisors (45896515410).

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

30020123310 is a wasteful number, since it uses less digits than its factorization.

30020123310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53033.

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 30020123310 its reverse (1332102003), we get a palindrome (31352225313).

The spelling of 30020123310 in words is "thirty billion, twenty million, one hundred twenty-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 570 1013 2026 3039 5065 6078 10130 15195 19247 30390 38494 51991 57741 96235 103982 115482 155973 192470 259955 288705 311946 519910 577410 779865 987829 1559730 1975658 2963487 4939145 5926974 9878290 14817435 29634870 52666883 105333766 158000649 263334415 316001298 526668830 790003245 1000670777 1580006490 2001341554 3002012331 5003353885 6004024662 10006707770 15010061655 30020123310