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3141303100 = 22521315715391
BaseRepresentation
bin1011101100111100…
…0111101100111100
322002220220201202021
42323033013230330
522413133144400
61235413005524
7140562431035
oct27317075474
98086821667
103141303100
111372202571
127380238a4
133b0a59a40
1421b2a9a8c
15135ba671a
hexbb3c7b3c

3141303100 has 72 divisors (see below), whose sum is σ = 7388221568. Its totient is φ = 1152403200.

The previous prime is 3141303073. The next prime is 3141303127. The reversal of 3141303100 is 13031413.

It is an interprime number because it is at equal distance from previous prime (3141303073) and next prime (3141303127).

It is a super-2 number, since 2×31413031002 = 19735570332139220000, which contains 22 as substring.

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, 196405 + ... + 211795.

Almost surely, 23141303100 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 3141303100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3694110784).

3141303100 is an abundant number, since it is smaller than the sum of its proper divisors (4246918468).

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

3141303100 is a wasteful number, since it uses less digits than its factorization.

3141303100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15575 (or 15568 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 3141303100 is about 56047.3291067469. The cubic root of 3141303100 is about 1464.5468901229.

Adding to 3141303100 its reverse (13031413), we get a palindrome (3154334513).

The spelling of 3141303100 in words is "three billion, one hundred forty-one million, three hundred three thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 157 260 314 325 628 650 785 1300 1570 2041 3140 3925 4082 7850 8164 10205 15391 15700 20410 30782 40820 51025 61564 76955 102050 153910 200083 204100 307820 384775 400166 769550 800332 1000415 1539100 2000830 2416387 4001660 4832774 5002075 9665548 10004150 12081935 20008300 24163870 31413031 48327740 60409675 62826062 120819350 125652124 157065155 241638700 314130310 628260620 785325775 1570651550 3141303100