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10014124311 = 331163318911
BaseRepresentation
bin10010101001110001…
…10110100100010111
3221211220100020001000
421110320312210113
5131002103434221
64333405234343
7503105436462
oct112470664427
927756306030
1010014124311
1142797918a4
121b358629b3
13c378c4359
146add9c2d9
153d924ce26
hex254e36917

10014124311 has 16 divisors (see below), whose sum is σ = 14848542720. Its totient is φ = 6670321560.

The previous prime is 10014124291. The next prime is 10014124321. The reversal of 10014124311 is 11342141001.

10014124311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10014124311 - 29 = 10014123799 is a prime.

It is a super-2 number, since 2×100141243112 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10014124321) 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 15 ways as a sum of consecutive naturals, for example, 128055 + ... + 190856.

It is an arithmetic number, because the mean of its divisors is an integer number (928033920).

Almost surely, 210014124311 is an apocalyptic number.

10014124311 is a deficient number, since it is larger than the sum of its proper divisors (4834418409).

10014124311 is a wasteful number, since it uses less digits than its factorization.

10014124311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320083 (or 320077 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10014124311 its reverse (11342141001), we get a palindrome (21356265312).

The spelling of 10014124311 in words is "ten billion, fourteen million, one hundred twenty-four thousand, three hundred eleven".

Divisors: 1 3 9 27 1163 3489 10467 31401 318911 956733 2870199 8610597 370893493 1112680479 3338041437 10014124311