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10052363310 = 23511111727271
BaseRepresentation
bin10010101110010101…
…01110010000101110
3221221120021222002020
421113022232100232
5131041401111220
64341253011010
7504051451443
oct112712562056
927846258066
1010052363310
11429932a380
121b46623a66
13c427c2492
146b50b39ca
153dc7a3040
hex2572ae42e

10052363310 has 64 divisors (see below), whose sum is σ = 26343442944. Its totient is φ = 2434665600.

The previous prime is 10052363303. The next prime is 10052363317. The reversal of 10052363310 is 1336325001.

It is a happy number.

10052363310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10052363303) and next prime (10052363317).

It is a super-3 number, since 3×100523633103 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10052363317) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 354975 + ... + 382245.

It is an arithmetic number, because the mean of its divisors is an integer number (411616296).

Almost surely, 210052363310 is an apocalyptic number.

10052363310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10052363310 is an abundant number, since it is smaller than the sum of its proper divisors (16291079634).

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

10052363310 is a wasteful number, since it uses less digits than its factorization.

10052363310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28409.

The product of its (nonzero) digits is 1620, while the sum is 24.

Adding to 10052363310 its reverse (1336325001), we get a palindrome (11388688311).

The spelling of 10052363310 in words is "ten billion, fifty-two million, three hundred sixty-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 1117 2234 3351 5585 6702 11170 12287 16755 24574 27271 33510 36861 54542 61435 73722 81813 122870 136355 163626 184305 272710 299981 368610 409065 599962 818130 899943 1499905 1799886 2999810 4499715 8999430 30461707 60923414 91385121 152308535 182770242 304617070 335078777 456925605 670157554 913851210 1005236331 1675393885 2010472662 3350787770 5026181655 10052363310