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4131143300 = 2252435318127
BaseRepresentation
bin1111011000111100…
…0011111010000100
3101122220110211020102
43312033003322010
531430033041200
61521532423232
7204242065364
oct36617037204
911586424212
104131143300
11182aa17119
12973617b18
1350ab4a6bb
142b29309a4
15192a2c6d5
hexf63c3e84

4131143300 has 72 divisors (see below), whose sum is σ = 9346651776. Its totient is φ = 1583487360.

The previous prime is 4131143281. The next prime is 4131143311. The reversal of 4131143300 is 33411314.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 218837 + ... + 236963.

It is an arithmetic number, because the mean of its divisors is an integer number (129814608).

Almost surely, 24131143300 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 4131143300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4673325888).

4131143300 is an abundant number, since it is smaller than the sum of its proper divisors (5215508476).

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

4131143300 is a wasteful number, since it uses less digits than its factorization.

4131143300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18237 (or 18230 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 4131143300 is about 64273.9706257518. The cubic root of 4131143300 is about 1604.5629254703.

Adding to 4131143300 its reverse (33411314), we get a palindrome (4164554614).

The spelling of 4131143300 in words is "four billion, one hundred thirty-one million, one hundred forty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 43 50 53 86 100 106 172 212 215 265 430 530 860 1060 1075 1325 2150 2279 2650 4300 4558 5300 9116 11395 18127 22790 36254 45580 56975 72508 90635 113950 181270 227900 362540 453175 779461 906350 960731 1558922 1812700 1921462 3117844 3842924 3897305 4803655 7794610 9607310 15589220 19214620 19486525 24018275 38973050 41311433 48036550 77946100 82622866 96073100 165245732 206557165 413114330 826228660 1032785825 2065571650 4131143300