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10322343252 = 223213173127493
BaseRepresentation
bin10011001110100001…
…00111010101010100
3222122101022100221100
421213100213111110
5132120004441002
64424135350100
7513540320124
oct114720472524
928571270840
1010322343252
11441776a2a1
122000b22330
13c8670c120
146dccb0c84
1540633211c
hex267427554

10322343252 has 72 divisors (see below), whose sum is σ = 28262359944. Its totient is φ = 3157721856.

The previous prime is 10322343209. The next prime is 10322343253. The reversal of 10322343252 is 25234322301.

10322343252 is a `hidden beast` number, since 1 + 0 + 3 + 223 + 432 + 5 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2314956996 + 8007386256 = 48114^2 + 89484^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10322343253) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17218 + ... + 144710.

It is an arithmetic number, because the mean of its divisors is an integer number (392532777).

Almost surely, 210322343252 is an apocalyptic number.

10322343252 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 10322343252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14131179972).

10322343252 is an abundant number, since it is smaller than the sum of its proper divisors (17940016692).

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

10322343252 is a wasteful number, since it uses less digits than its factorization.

10322343252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127689 (or 127684 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 10322343252 its reverse (25234322301), we get a palindrome (35556665553).

The spelling of 10322343252 in words is "ten billion, three hundred twenty-two million, three hundred forty-three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 173 234 346 468 519 692 1038 1557 2076 2249 3114 4498 6228 6747 8996 13494 20241 26988 40482 80964 127493 254986 382479 509972 764958 1147437 1529916 1657409 2294874 3314818 4589748 4972227 6629636 9944454 14916681 19888908 22056289 29833362 44112578 59666724 66168867 88225156 132337734 198506601 264675468 286731757 397013202 573463514 794026404 860195271 1146927028 1720390542 2580585813 3440781084 5161171626 10322343252