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3013042100 = 22521012691109
BaseRepresentation
bin1011001110010111…
…0101111110110100
321202222120101201212
42303211311332310
522132314321400
61214551540552
7134444302205
oct26345657664
97688511655
103013042100
111306869142
1270108a758
133902cc963
1420823d5ac
151297bd335
hexb3975fb4

3013042100 has 72 divisors (see below), whose sum is σ = 6633559800. Its totient is φ = 1187776000.

The previous prime is 3013042061. The next prime is 3013042129. The reversal of 3013042100 is 12403103.

It can be written as a sum of positive squares in 12 ways, for example, as 1651284496 + 1361757604 = 40636^2 + 36902^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2716346 + ... + 2717454.

It is an arithmetic number, because the mean of its divisors is an integer number (92132775).

Almost surely, 23013042100 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 3013042100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3316779900).

3013042100 is an abundant number, since it is smaller than the sum of its proper divisors (3620517700).

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

3013042100 is a wasteful number, since it uses less digits than its factorization.

3013042100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1493 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 3013042100 is about 54891.1841737815. The cubic root of 3013042100 is about 1444.3365448439.

Adding to 3013042100 its reverse (12403103), we get a palindrome (3025445203).

The spelling of 3013042100 in words is "three billion, thirteen million, forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 269 404 505 538 1010 1076 1109 1345 2020 2218 2525 2690 4436 5050 5380 5545 6725 10100 11090 13450 22180 26900 27169 27725 54338 55450 108676 110900 112009 135845 224018 271690 298321 448036 543380 560045 596642 679225 1120090 1193284 1358450 1491605 2240180 2716900 2800225 2983210 5600450 5966420 7458025 11200900 14916050 29832100 30130421 60260842 120521684 150652105 301304210 602608420 753260525 1506521050 3013042100