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30110001300 = 22325283403079
BaseRepresentation
bin11100000010101100…
…100010100010010100
32212201102021112210100
4130002230202202110
5443131130020200
621455441454100
72114103534231
oct340254424224
985642245710
1030110001300
11118513466a5
125a03941330
132abb0cac22
141658cc0788
15bb3606d00
hex702b22894

30110001300 has 108 divisors (see below), whose sum is σ = 95515449120. Its totient is φ = 7932575040.

The previous prime is 30110001289. The next prime is 30110001301. The reversal of 30110001300 is 310001103.

It is a super-2 number, since 2×301100013002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30110001301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 126840 + ... + 276239.

Almost surely, 230110001300 is an apocalyptic number.

30110001300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30110001300 is an abundant number, since it is smaller than the sum of its proper divisors (65405447820).

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

30110001300 is a wasteful number, since it uses less digits than its factorization.

30110001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403182 (or 403172 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

Adding to 30110001300 its reverse (310001103), we get a palindrome (30420002403).

The spelling of 30110001300 in words is "thirty billion, one hundred ten million, one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 83 90 100 150 166 180 225 249 300 332 415 450 498 747 830 900 996 1245 1494 1660 2075 2490 2988 3735 4150 4980 6225 7470 8300 12450 14940 18675 24900 37350 74700 403079 806158 1209237 1612316 2015395 2418474 3627711 4030790 4836948 6046185 7255422 8061580 10076975 12092370 14510844 18138555 20153950 24184740 30230925 33455557 36277110 40307900 60461850 66911114 72554220 90692775 100366671 120923700 133822228 167277785 181385550 200733342 301100013 334555570 362771100 401466684 501833355 602200026 669111140 836388925 1003666710 1204400052 1505500065 1672777850 2007333420 2509166775 3011000130 3345555700 5018333550 6022000260 7527500325 10036667100 15055000650 30110001300