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10242230450431 = 7171941110486731
BaseRepresentation
bin1001010100001011010010…
…0000011111100011111111
31100021010222122120002121111
42111002310200133203333
52320302041443403211
633441114332142451
72104656006244120
oct225026440374377
940233878502544
1010242230450431
113299784090721
12119501a307a27
13593ab86605b5
14275a25b04047
1512b655ad3421
hex950b481f8ff

10242230450431 has 32 divisors (see below), whose sum is σ = 13364475102720. Its totient is φ = 7636842777600.

The previous prime is 10242230450423. The next prime is 10242230450447. The reversal of 10242230450431 is 13405403224201.

It is a cyclic number.

It is not a de Polignac number, because 10242230450431 - 23 = 10242230450423 is a prime.

It is a super-3 number, since 3×102422304504313 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 10242230450393 and 10242230450402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10242230450531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55150665 + ... + 55336066.

It is an arithmetic number, because the mean of its divisors is an integer number (417639846960).

Almost surely, 210242230450431 is an apocalyptic number.

10242230450431 is a deficient number, since it is larger than the sum of its proper divisors (3122244652289).

10242230450431 is a wasteful number, since it uses less digits than its factorization.

10242230450431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110486815.

The product of its (nonzero) digits is 23040, while the sum is 31.

Adding to 10242230450431 its reverse (13405403224201), we get a palindrome (23647633674632).

The spelling of 10242230450431 in words is "ten trillion, two hundred forty-two billion, two hundred thirty million, four hundred fifty thousand, four hundred thirty-one".

Divisors: 1 7 17 19 41 119 133 287 323 697 779 2261 4879 5453 13243 92701 110486731 773407117 1878274427 2099247889 4529955971 13147920989 14694735223 31709691797 35687214113 77009251507 86069163449 249810498791 539064760549 602484144143 1463175778633 10242230450431