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10034412431 is a prime number
BaseRepresentation
bin10010101100001100…
…01111101110001111
3221220022111222002212
421112012033232033
5131022302144211
64335412141035
7503443045511
oct112606175617
927808458085
1010034412431
11428a18963a
121b4060777b
13c3bb78964
146b295dbb1
153dae0938b
hex25618fb8f

10034412431 has 2 divisors, whose sum is σ = 10034412432. Its totient is φ = 10034412430.

The previous prime is 10034412407. The next prime is 10034412497. The reversal of 10034412431 is 13421443001.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10034412431 is a prime.

It is a super-2 number, since 2×100344124312 (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a junction number, because it is equal to n+sod(n) for n = 10034412397 and 10034412406.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10034412631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5017206215 + 5017206216.

It is an arithmetic number, because the mean of its divisors is an integer number (5017206216).

Almost surely, 210034412431 is an apocalyptic number.

10034412431 is a deficient number, since it is larger than the sum of its proper divisors (1).

10034412431 is an equidigital number, since it uses as much as digits as its factorization.

10034412431 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 10034412431 its reverse (13421443001), we get a palindrome (23455855432).

The spelling of 10034412431 in words is "ten billion, thirty-four million, four hundred twelve thousand, four hundred thirty-one".