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10323023232 = 273223120551
BaseRepresentation
bin10011001110100110…
…01101010110000000
3222122102120220200210
421213103031112000
5132120143220412
64424202114120
7513546151434
oct114723152600
928572526623
1010323023232
114418094165
1220011ab940
13c868b9792
146dd00a9c4
1540641883c
hex2674cd580

10323023232 has 64 divisors (see below), whose sum is σ = 27543720960. Its totient is φ = 3425548800.

The previous prime is 10323023213. The next prime is 10323023239. The reversal of 10323023232 is 23232032301.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 10323023199 and 10323023208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10323023239) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25357 + ... + 145907.

It is an arithmetic number, because the mean of its divisors is an integer number (430370640).

Almost surely, 210323023232 is an apocalyptic number.

10323023232 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 10323023232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13771860480).

10323023232 is an abundant number, since it is smaller than the sum of its proper divisors (17220697728).

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

10323023232 is a wasteful number, since it uses less digits than its factorization.

10323023232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120791 (or 120779 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 10323023232 its reverse (23232032301), we get a palindrome (33555055533).

The spelling of 10323023232 in words is "ten billion, three hundred twenty-three million, twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 223 384 446 669 892 1338 1784 2676 3568 5352 7136 10704 14272 21408 28544 42816 85632 120551 241102 361653 482204 723306 964408 1446612 1928816 2893224 3857632 5786448 7715264 11572896 15430528 23145792 26882873 46291584 53765746 80648619 107531492 161297238 215062984 322594476 430125968 645188952 860251936 1290377904 1720503872 2580755808 3441007744 5161511616 10323023232