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10342225431 = 324672460677
BaseRepresentation
bin10011010000111000…
…11101011000010111
3222200202201111011100
421220130131120113
5132140102203211
64430125441143
7514201315506
oct115034353027
928622644140
1010342225431
114427a0a04a
1220077101b3
13c8a880a25
147017a883d
15407e5d156
hex26871d617

10342225431 has 12 divisors (see below), whose sum is σ = 14970764952. Its totient is φ = 6880050096.

The previous prime is 10342225381. The next prime is 10342225469. The reversal of 10342225431 is 13452224301.

10342225431 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 2 + 225 + 431 = 666.

10342225431 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10342225431 - 229 = 9805354519 is a prime.

It is a super-2 number, since 2×103422254312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10342225395 and 10342225404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10342925431) 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, 1226136 + ... + 1234541.

It is an arithmetic number, because the mean of its divisors is an integer number (1247563746).

Almost surely, 210342225431 is an apocalyptic number.

10342225431 is a deficient number, since it is larger than the sum of its proper divisors (4628539521).

10342225431 is a wasteful number, since it uses less digits than its factorization.

10342225431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2461150 (or 2461147 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 10342225431 its reverse (13452224301), we get a palindrome (23794449732).

It can be divided in two parts, 10342225 and 431, that added together give a square (10342656 = 32162).

The spelling of 10342225431 in words is "ten billion, three hundred forty-two million, two hundred twenty-five thousand, four hundred thirty-one".

Divisors: 1 3 9 467 1401 4203 2460677 7382031 22146093 1149136159 3447408477 10342225431