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10353410431 = 713176692573
BaseRepresentation
bin10011010010001110…
…01000000101111111
3222201112202202002121
421221013020011333
5132200433113211
64431205303411
7514365352030
oct115107100577
928645682077
1010353410431
114433259551
12200b404b67
13c8cc98a80
1470307aa87
15408e1c271
hex2691c817f

10353410431 has 16 divisors (see below), whose sum is σ = 13492229184. Its totient is φ = 7709842944.

The previous prime is 10353410423. The next prime is 10353410489. The reversal of 10353410431 is 13401435301.

10353410431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10353410431 - 23 = 10353410423 is a prime.

It is a super-2 number, since 2×103534104312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10353410396 and 10353410405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10353410401) 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, 3344740 + ... + 3347833.

It is an arithmetic number, because the mean of its divisors is an integer number (843264324).

Almost surely, 210353410431 is an apocalyptic number.

10353410431 is a deficient number, since it is larger than the sum of its proper divisors (3138818753).

10353410431 is a wasteful number, since it uses less digits than its factorization.

10353410431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6692610.

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 10353410431 its reverse (13401435301), we get a palindrome (23754845732).

The spelling of 10353410431 in words is "ten billion, three hundred fifty-three million, four hundred ten thousand, four hundred thirty-one".

Divisors: 1 7 13 17 91 119 221 1547 6692573 46848011 87003449 113773741 609024143 796416187 1479058633 10353410431