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30108319410 = 235131931131071
BaseRepresentation
bin11100000010100110…
…000111111010110010
32212201022010002200010
4130002212013322302
5443130212210120
621455341435350
72114053330611
oct340246077262
985638102603
1030108319410
11118503a8004
125a0326bb56
132aba95c520
1416589a3878
15bb33c37e0
hex702987eb2

30108319410 has 128 divisors (see below), whose sum is σ = 84557168640. Its totient is φ = 6794668800.

The previous prime is 30108319399. The next prime is 30108319411. The reversal of 30108319410 is 1491380103.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (30108319411) 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 63 ways as a sum of consecutive naturals, for example, 164175 + ... + 295245.

It is an arithmetic number, because the mean of its divisors is an integer number (660602880).

Almost surely, 230108319410 is an apocalyptic number.

30108319410 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 30108319410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42278584320).

30108319410 is an abundant number, since it is smaller than the sum of its proper divisors (54448849230).

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

30108319410 is a wasteful number, since it uses less digits than its factorization.

30108319410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131144.

The product of its (nonzero) digits is 2592, while the sum is 30.

Adding to 30108319410 its reverse (1491380103), we get a palindrome (31599699513).

The spelling of 30108319410 in words is "thirty billion, one hundred eight million, three hundred nineteen thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 13 15 19 26 30 31 38 39 57 62 65 78 93 95 114 130 155 186 190 195 247 285 310 390 403 465 494 570 589 741 806 930 1178 1209 1235 1482 1767 2015 2418 2470 2945 3534 3705 4030 5890 6045 7410 7657 8835 12090 15314 17670 22971 38285 45942 76570 114855 131071 229710 262142 393213 655355 786426 1310710 1703923 1966065 2490349 3407846 3932130 4063201 4980698 5111769 7471047 8126402 8519615 10223538 12189603 12451745 14942094 17039230 20316005 24379206 24903490 25558845 32374537 37355235 40632010 51117690 52821613 60948015 64749074 74710470 77200819 97123611 105643226 121896030 154401638 158464839 161872685 194247222 231602457 264108065 316929678 323745370 386004095 463204914 485618055 528216130 772008190 792324195 971236110 1003610647 1158012285 1584648390 2007221294 2316024570 3010831941 5018053235 6021663882 10036106470 15054159705 30108319410