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1032204012 = 223722836203
BaseRepresentation
bin111101100001100…
…010111011101100
32122221021101201020
4331201202323230
54103221012022
6250231414140
734402406100
oct7541427354
92587241636
101032204012
1148a71a174
12249824350
13135b04408
149b131900
156094335c
hex3d862eec

1032204012 has 72 divisors (see below), whose sum is σ = 2812049856. Its totient is φ = 293825952.

The previous prime is 1032204007. The next prime is 1032204023. The reversal of 1032204012 is 2104022301.

It is a super-2 number, since 2×10322040122 = 2130890244777792288, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1032203982 and 1032204000.

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, 163303 + ... + 169505.

It is an arithmetic number, because the mean of its divisors is an integer number (39056248).

Almost surely, 21032204012 is an apocalyptic number.

1032204012 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 1032204012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406024928).

1032204012 is an abundant number, since it is smaller than the sum of its proper divisors (1779845844).

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

1032204012 is a wasteful number, since it uses less digits than its factorization.

1032204012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6507 (or 6498 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1032204012 is about 32127.9319595893. The cubic root of 1032204012 is about 1010.6214559198.

Adding to 1032204012 its reverse (2104022301), we get a palindrome (3136226313).

The spelling of 1032204012 in words is "one billion, thirty-two million, two hundred four thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 283 294 566 588 849 1132 1698 1981 3396 3962 5943 6203 7924 11886 12406 13867 18609 23772 24812 27734 37218 41601 43421 55468 74436 83202 86842 130263 166404 173684 260526 303947 521052 607894 911841 1215788 1755449 1823682 3510898 3647364 5266347 7021796 10532694 12288143 21065388 24576286 36864429 49152572 73728858 86017001 147457716 172034002 258051003 344068004 516102006 1032204012