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300100140 = 223852287
BaseRepresentation
bin10001111000110…
…010101000101100
3202220200200000000
4101320302220230
51103311201030
645440104300
710302544344
oct2170625054
9686620000
10300100140
1114444274a
1284605090
134a234562
142bbdbd24
151b52d860
hex11e32a2c

300100140 has 108 divisors (see below), whose sum is σ = 945680736. Its totient is φ = 79991712.

The previous prime is 300100127. The next prime is 300100219. The reversal of 300100140 is 41001003.

It is a tau number, because it is divible by the number of its divisors (108).

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

It is an unprimeable number.

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, 130077 + ... + 132363.

Almost surely, 2300100140 is an apocalyptic number.

300100140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 300100140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472840368).

300100140 is an abundant number, since it is smaller than the sum of its proper divisors (645580596).

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

300100140 is an equidigital number, since it uses as much as digits as its factorization.

300100140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2320 (or 2297 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 300100140 is about 17323.3986272902. The cubic root of 300100140 is about 669.5074273689.

Adding to 300100140 its reverse (41001003), we get a palindrome (341101143).

The spelling of 300100140 in words is "three hundred million, one hundred thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 729 810 972 1215 1458 1620 2187 2287 2430 2916 3645 4374 4574 4860 6561 6861 7290 8748 9148 10935 11435 13122 13722 14580 20583 21870 22870 26244 27444 32805 34305 41166 43740 45740 61749 65610 68610 82332 102915 123498 131220 137220 185247 205830 246996 308745 370494 411660 555741 617490 740988 926235 1111482 1234980 1667223 1852470 2222964 2778705 3334446 3704940 5001669 5557410 6668892 8336115 10003338 11114820 15005007 16672230 20006676 25008345 30010014 33344460 50016690 60020028 75025035 100033380 150050070 300100140