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3000312100 = 2252431076521
BaseRepresentation
bin1011001011010101…
…0010000100100100
321202002121122110101
42302311102010210
522121034441400
61213415033444
7134231142412
oct26265220444
97662548411
103000312100
1112aa663985
126b896b884
1338a793606
142066882b2
1512860656a
hexb2d52124

3000312100 has 72 divisors (see below), whose sum is σ = 6725382048. Its totient is φ = 1161081600.

The previous prime is 3000312083. The next prime is 3000312101. The reversal of 3000312100 is 12130003.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (3000312101) 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 23 ways as a sum of consecutive naturals, for example, 456840 + ... + 463360.

It is an arithmetic number, because the mean of its divisors is an integer number (93408084).

Almost surely, 23000312100 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 3000312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3362691024).

3000312100 is an abundant number, since it is smaller than the sum of its proper divisors (3725069948).

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

3000312100 is a wasteful number, since it uses less digits than its factorization.

3000312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6685 (or 6678 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 3000312100 is about 54775.1047465909. The cubic root of 3000312100 is about 1442.2995825832.

Adding to 3000312100 its reverse (12130003), we get a palindrome (3012442103).

The spelling of 3000312100 in words is "three billion, three hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 107 172 214 215 428 430 535 860 1070 1075 2140 2150 2675 4300 4601 5350 6521 9202 10700 13042 18404 23005 26084 32605 46010 65210 92020 115025 130420 163025 230050 280403 326050 460100 560806 652100 697747 1121612 1395494 1402015 2790988 2804030 3488735 5608060 6977470 7010075 13954940 14020150 17443675 28040300 30003121 34887350 60006242 69774700 120012484 150015605 300031210 600062420 750078025 1500156050 3000312100