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2124113152 = 2872313541
BaseRepresentation
bin111111010011011…
…0110010100000000
312111000220010110111
41332212312110000
513322233110102
6550435041104
7103431443500
oct17646662400
95430803414
102124113152
119a0008717
124b3440194
1327b0b14b5
14162165a00
15c672bcd7
hex7e9b6500

2124113152 has 108 divisors (see below), whose sum is σ = 4957065876. Its totient is φ = 905748480.

The previous prime is 2124113143. The next prime is 2124113153. The reversal of 2124113152 is 2513114212.

It can be written as a sum of positive squares in 2 ways, for example, as 293642496 + 1830470656 = 17136^2 + 42784^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2124113153) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3926002 + ... + 3926542.

Almost surely, 22124113152 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 2124113152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2478532938).

2124113152 is an abundant number, since it is smaller than the sum of its proper divisors (2832952724).

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

2124113152 is an equidigital number, since it uses as much as digits as its factorization.

2124113152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 863 counting only the distinct ones).

The product of its digits is 480, while the sum is 22.

The square root of 2124113152 is about 46088.1020655006. The cubic root of 2124113152 is about 1285.4619205656.

Adding to 2124113152 its reverse (2513114212), we get a palindrome (4637227364).

The spelling of 2124113152 in words is "two billion, one hundred twenty-four million, one hundred thirteen thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 313 392 448 541 626 784 896 1082 1252 1568 1792 2164 2191 2504 3136 3787 4328 4382 5008 6272 7574 8656 8764 10016 12544 15148 15337 17312 17528 20032 26509 30296 30674 34624 35056 40064 53018 60592 61348 69248 70112 80128 106036 121184 122696 138496 140224 169333 212072 242368 245392 280448 338666 424144 484736 490784 560896 677332 848288 969472 981568 1185331 1354664 1696576 1963136 2370662 2709328 3393152 3926272 4741324 5418656 6786304 8297317 9482648 10837312 16594634 18965296 21674624 33189268 37930592 43349248 66378536 75861184 132757072 151722368 265514144 303444736 531028288 1062056576 2124113152