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10051434252 = 22322753101419
BaseRepresentation
bin10010101110001110…
…01011011100001100
3221221111112202122200
421113013023130030
5131041131344002
64341221041500
7504040532016
oct112707133414
927844482580
1010051434252
114298855362
121b46256290
13c42558642
146b4d111b6
153dc66cb1c
hex2571cb70c

10051434252 has 36 divisors (see below), whose sum is σ = 25417271880. Its totient is φ = 3349228032.

The previous prime is 10051434233. The next prime is 10051434257. The reversal of 10051434252 is 25243415001.

10051434252 is a `hidden beast` number, since 100 + 514 + 3 + 42 + 5 + 2 = 666.

10051434252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (10051434257) 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 11 ways as a sum of consecutive naturals, for example, 48399 + ... + 149817.

It is an arithmetic number, because the mean of its divisors is an integer number (706035330).

Almost surely, 210051434252 is an apocalyptic number.

10051434252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10051434252 is an abundant number, since it is smaller than the sum of its proper divisors (15365837628).

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

10051434252 is a wasteful number, since it uses less digits than its factorization.

10051434252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104182 (or 104177 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 10051434252 its reverse (25243415001), we get a palindrome (35294849253).

The spelling of 10051434252 in words is "ten billion, fifty-one million, four hundred thirty-four thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 2753 5506 8259 11012 16518 24777 33036 49554 99108 101419 202838 304257 405676 608514 912771 1217028 1825542 3651084 279206507 558413014 837619521 1116826028 1675239042 2512858563 3350478084 5025717126 10051434252