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10011411431 = 72487419537
BaseRepresentation
bin10010101001011101…
…00000001111100111
3221211201020101122222
421110232200033213
5131000410131211
64333231142555
7503043410300
oct112456401747
927751211588
1010011411431
1142781a964a
121b34974a5b
13c371845b8
146ad8937a7
153d8db41db
hex254ba03e7

10011411431 has 12 divisors (see below), whose sum is σ = 11669869008. Its totient is φ = 8563568832.

The previous prime is 10011411427. The next prime is 10011411461. The reversal of 10011411431 is 13411411001.

10011411431 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 10011411431 - 22 = 10011411427 is a prime.

It is a super-2 number, since 2×100114114312 (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 (10011411461) 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, 185906 + ... + 233631.

It is an arithmetic number, because the mean of its divisors is an integer number (972489084).

Almost surely, 210011411431 is an apocalyptic number.

10011411431 is a deficient number, since it is larger than the sum of its proper divisors (1658457577).

10011411431 is an equidigital number, since it uses as much as digits as its factorization.

10011411431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420038 (or 420031 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 10011411431 its reverse (13411411001), we get a palindrome (23422822432).

The spelling of 10011411431 in words is "ten billion, eleven million, four hundred eleven thousand, four hundred thirty-one".

Divisors: 1 7 49 487 3409 23863 419537 2936759 20557313 204314519 1430201633 10011411431