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3001130000 = 24541127283
BaseRepresentation
bin1011001011100001…
…1001110000010000
321202011011012101222
42302320121300100
522121242130000
61213444344212
7134241120101
oct26270316020
97664135358
103001130000
111300072430
126b90a5068
1338a9bb98b
1420681c3a8
15128718a85
hexb2e19c10

3001130000 has 100 divisors (see below), whose sum is σ = 7926875088. Its totient is φ = 1091280000.

The previous prime is 3001129997. The next prime is 3001130029. The reversal of 3001130000 is 311003.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 3001130000.

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 19 ways as a sum of consecutive naturals, for example, 96359 + ... + 123641.

Almost surely, 23001130000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3001130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3963437544).

3001130000 is an abundant number, since it is smaller than the sum of its proper divisors (4925745088).

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

3001130000 is a wasteful number, since it uses less digits than its factorization.

3001130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27322 (or 27301 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 8.

The square root of 3001130000 is about 54782.5702208284. The cubic root of 3001130000 is about 1442.4306300223.

Adding to 3001130000 its reverse (311003), we get a palindrome (3001441003).

The spelling of 3001130000 in words is "three billion, one million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 4400 5000 5500 6875 10000 11000 13750 22000 27283 27500 54566 55000 109132 110000 136415 218264 272830 300113 436528 545660 600226 682075 1091320 1200452 1364150 1500565 2182640 2400904 2728300 3001130 3410375 4801808 5456600 6002260 6820750 7502825 10913200 12004520 13641500 15005650 17051875 24009040 27283000 30011300 34103750 37514125 54566000 60022600 68207500 75028250 120045200 136415000 150056500 187570625 272830000 300113000 375141250 600226000 750282500 1500565000 3001130000