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3130100 = 2252113277
BaseRepresentation
bin1011111100001011110100
312220000200122
423330023310
51300130400
6151031112
735414441
oct13741364
95800618
103130100
111848766
12106b498
1385793c
145b69c8
1541c685
hex2fc2f4

3130100 has 36 divisors (see below), whose sum is σ = 6877164. Its totient is φ = 1236480.

The previous prime is 3130097. The next prime is 3130111. The reversal of 3130100 is 10313.

It can be written as a sum of positive squares in 6 ways, for example, as 1136356 + 1993744 = 1066^2 + 1412^2 .

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 11162 + ... + 11438.

Almost surely, 23130100 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 3130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3438582).

3130100 is an abundant number, since it is smaller than the sum of its proper divisors (3747064).

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

3130100 is a wasteful number, since it uses less digits than its factorization.

3130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 397 counting only the distinct ones).

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

The square root of 3130100 is about 1769.2088627406. The cubic root of 3130100 is about 146.2803769662.

Adding to 3130100 its reverse (10313), we get a palindrome (3140413).

The spelling of 3130100 in words is "three million, one hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 113 226 277 452 554 565 1108 1130 1385 2260 2770 2825 5540 5650 6925 11300 13850 27700 31301 62602 125204 156505 313010 626020 782525 1565050 3130100