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3141350300 = 2252114169653
BaseRepresentation
bin1011101100111101…
…0011001110011100
322002221000010111102
42323033103032130
522413141202200
61235414012232
7140563015454
oct27317231634
98087003442
103141350300
111372234a80
12738047078
133b0a7537a
1421b2bcd64
15135bb56d5
hexbb3d339c

3141350300 has 72 divisors (see below), whose sum is σ = 7617918672. Its totient is φ = 1114432000.

The previous prime is 3141350299. The next prime is 3141350309. The reversal of 3141350300 is 30531413.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3141350309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10274 + ... + 79926.

It is an arithmetic number, because the mean of its divisors is an integer number (105804426).

Almost surely, 23141350300 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 3141350300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3808959336).

3141350300 is an abundant number, since it is smaller than the sum of its proper divisors (4476568372).

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

3141350300 is a wasteful number, since it uses less digits than its factorization.

3141350300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69719 (or 69712 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 3141350300 is about 56047.7501778617. The cubic root of 3141350300 is about 1464.5542253237.

Adding to 3141350300 its reverse (30531413), we get a palindrome (3171881713).

The spelling of 3141350300 in words is "three billion, one hundred forty-one million, three hundred fifty thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 41 44 50 55 82 100 110 164 205 220 275 410 451 550 820 902 1025 1100 1804 2050 2255 4100 4510 9020 11275 22550 45100 69653 139306 278612 348265 696530 766183 1393060 1532366 1741325 2855773 3064732 3482650 3830915 5711546 6965300 7661830 11423092 14278865 15323660 19154575 28557730 31413503 38309150 57115460 62827006 71394325 76618300 125654012 142788650 157067515 285577300 314135030 628270060 785337575 1570675150 3141350300