Search a number
-
+
3143332100 = 22521011392239
BaseRepresentation
bin1011101101011011…
…0111000100000100
322010001201211000102
42323112313010010
522414143111400
61235524303232
7140615611346
oct27326670404
98101654012
103143332100
111373368a27
12738841b18
133b12ba42c
1421b677296
15135e579d5
hexbb5b7104

3143332100 has 72 divisors (see below), whose sum is σ = 6941222400. Its totient is φ = 1235376000.

The previous prime is 3143332097. The next prime is 3143332103. The reversal of 3143332100 is 12333413.

3143332100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3143332097) and next prime (3143332103).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (3143332103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1402781 + ... + 1405019.

Almost surely, 23143332100 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 3143332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3470611200).

3143332100 is an abundant number, since it is smaller than the sum of its proper divisors (3797890300).

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

3143332100 is a wasteful number, since it uses less digits than its factorization.

3143332100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2493 (or 2486 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 3143332100 is about 56065.4269581531. The cubic root of 3143332100 is about 1464.8621442267.

Adding to 3143332100 its reverse (12333413), we get a palindrome (3155665513).

The spelling of 3143332100 in words is "three billion, one hundred forty-three million, three hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 139 202 278 404 505 556 695 1010 1390 2020 2239 2525 2780 3475 4478 5050 6950 8956 10100 11195 13900 14039 22390 28078 44780 55975 56156 70195 111950 140390 223900 226139 280780 311221 350975 452278 622442 701950 904556 1130695 1244884 1403900 1556105 2261390 3112210 4522780 5653475 6224420 7780525 11306950 15561050 22613900 31122100 31433321 62866642 125733284 157166605 314333210 628666420 785833025 1571666050 3143332100