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1043124012 = 2232717594127
BaseRepresentation
bin111110001011001…
…100111100101100
32200200211012010200
4332023030330230
54114014432022
6251301433500
734564256610
oct7613147454
92620735120
101043124012
114958a8567
1225140b890
13138158958
149c775340
156189dbac
hex3e2ccf2c

1043124012 has 144 divisors (see below), whose sum is σ = 3245598720. Its totient is φ = 275682816.

The previous prime is 1043124007. The next prime is 1043124041. The reversal of 1043124012 is 2104213401.

It is a super-2 number, since 2×10431240122 = 2176215408821952288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 250693 + ... + 254819.

It is an arithmetic number, because the mean of its divisors is an integer number (22538880).

Almost surely, 21043124012 is an apocalyptic number.

1043124012 is a gapful number since it is divisible by the number (12) 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 1043124012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622799360).

1043124012 is an abundant number, since it is smaller than the sum of its proper divisors (2202474708).

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

1043124012 is a wasteful number, since it uses less digits than its factorization.

1043124012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4220 (or 4215 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1043124012 is about 32297.4304241065. The cubic root of 1043124012 is about 1014.1728519681.

Adding to 1043124012 its reverse (2104213401), we get a palindrome (3147337413).

It can be divided in two parts, 10431 and 24012, that added together give a palindrome (34443).

The spelling of 1043124012 in words is "one billion, forty-three million, one hundred twenty-four thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 59 63 68 84 102 118 119 126 153 177 204 236 238 252 306 354 357 413 476 531 612 708 714 826 1003 1062 1071 1239 1428 1652 2006 2124 2142 2478 3009 3717 4012 4127 4284 4956 6018 7021 7434 8254 9027 12036 12381 14042 14868 16508 18054 21063 24762 28084 28889 36108 37143 42126 49524 57778 63189 70159 74286 84252 86667 115556 126378 140318 148572 173334 210477 243493 252756 260001 280636 346668 420954 486986 491113 520002 631431 730479 841908 973972 982226 1040004 1262862 1460958 1473339 1704451 1964452 2191437 2525724 2921916 2946678 3408902 4139381 4382874 4420017 5113353 5893356 6817804 8278762 8765748 8840034 10226706 12418143 15340059 16557524 17680068 20453412 24836286 28975667 30680118 37254429 49672572 57951334 61360236 74508858 86927001 115902668 149017716 173854002 260781003 347708004 521562006 1043124012