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4124011332 = 2237192938819
BaseRepresentation
bin1111010111001111…
…0110101101000100
3101122102001111000110
43311303312231010
531421221330312
61521115513020
7204124342440
oct36563665504
911572044013
104124011332
111826995831
12971158770
135095213bc
142b19d5820
151920be43c
hexf5cf6b44

4124011332 has 96 divisors (see below), whose sum is σ = 11616998400. Its totient is φ = 1112337792.

The previous prime is 4124011327. The next prime is 4124011337. The reversal of 4124011332 is 2331104214.

It is an interprime number because it is at equal distance from previous prime (4124011327) and next prime (4124011337).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 4124011299 and 4124011308.

It is not an unprimeable number, because it can be changed into a prime (4124011337) 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 31 ways as a sum of consecutive naturals, for example, 463219 + ... + 472037.

It is an arithmetic number, because the mean of its divisors is an integer number (121010400).

Almost surely, 24124011332 is an apocalyptic number.

4124011332 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4124011332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5808499200).

4124011332 is an abundant number, since it is smaller than the sum of its proper divisors (7492987068).

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

4124011332 is a wasteful number, since it uses less digits than its factorization.

4124011332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9145 (or 9143 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 4124011332 is about 64218.4656621442. The cubic root of 4124011332 is about 1603.6390260105.

Adding to 4124011332 its reverse (2331104214), we get a palindrome (6455115546).

The spelling of 4124011332 in words is "four billion, one hundred twenty-four million, eleven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 293 399 532 586 798 879 1172 1596 1758 2051 3516 4102 5567 6153 8204 8819 11134 12306 16701 17638 22268 24612 26457 33402 35276 38969 52914 61733 66804 77938 105828 116907 123466 155876 167561 185199 233814 246932 335122 370398 467628 502683 670244 740796 1005366 1172927 2010732 2345854 2583967 3518781 4691708 5167934 7037562 7751901 10335868 14075124 15503802 18087769 31007604 36175538 49095373 54263307 72351076 98190746 108526614 147286119 196381492 217053228 294572238 343667611 589144476 687335222 1031002833 1374670444 2062005666 4124011332