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4122143300 = 22521121013373
BaseRepresentation
bin1111010110110010…
…1110101001000100
3101122021112120120002
43311230232221010
531420232041200
61521011500432
7204102432332
oct36554565104
911567476502
104122143300
11182592a300
129705b7718
13509019062
142b166ab52
15191d50bd5
hexf5b2ea44

4122143300 has 108 divisors (see below), whose sum is σ = 9932455428. Its totient is φ = 1483680000.

The previous prime is 4122143297. The next prime is 4122143353. The reversal of 4122143300 is 33412214.

It can be written as a sum of positive squares in 6 ways, for example, as 920394244 + 3201749056 = 30338^2 + 56584^2 .

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 35 ways as a sum of consecutive naturals, for example, 1220414 + ... + 1223786.

Almost surely, 24122143300 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 4122143300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4966227714).

4122143300 is an abundant number, since it is smaller than the sum of its proper divisors (5810312128).

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

4122143300 is a wasteful number, since it uses less digits than its factorization.

4122143300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3510 (or 3492 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 4122143300 is about 64203.9196622761. The cubic root of 4122143300 is about 1603.3968587614.

Adding to 4122143300 its reverse (33412214), we get a palindrome (4155555514).

It can be divided in two parts, 412214 and 3300, that added together give a palindrome (415514).

The spelling of 4122143300 in words is "four billion, one hundred twenty-two million, one hundred forty-three thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 121 202 220 242 275 404 484 505 550 605 1010 1100 1111 1210 2020 2222 2420 2525 3025 3373 4444 5050 5555 6050 6746 10100 11110 12100 12221 13492 16865 22220 24442 27775 33730 37103 48884 55550 61105 67460 74206 84325 111100 122210 148412 168650 185515 244420 305525 337300 340673 371030 408133 611050 681346 742060 816266 927575 1222100 1362692 1632532 1703365 1855150 2040665 3406730 3710300 3747403 4081330 6813460 7494806 8162660 8516825 10203325 14989612 17033650 18737015 20406650 34067300 37474030 40813300 41221433 74948060 82442866 93685075 164885732 187370150 206107165 374740300 412214330 824428660 1030535825 2061071650 4122143300