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10505140422 = 237475321753
BaseRepresentation
bin10011100100010011…
…11011100011000110
31000010010021102111220
421302021323203012
5133003303443142
64454225341210
7521220135360
oct116211734306
930103242456
1010505140422
114500972537
122052197806
13cb555222a
14719295d30
154173de2ec
hex27227b8c6

10505140422 has 32 divisors (see below), whose sum is σ = 24522642432. Its totient is φ = 2937607104.

The previous prime is 10505140397. The next prime is 10505140423. The reversal of 10505140422 is 22404150501.

10505140422 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105051404222 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10505140392 and 10505140401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10505140423) 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, 2658903 + ... + 2662850.

It is an arithmetic number, because the mean of its divisors is an integer number (766332576).

Almost surely, 210505140422 is an apocalyptic number.

10505140422 is an abundant number, since it is smaller than the sum of its proper divisors (14017502010).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10505140422 is a wasteful number, since it uses less digits than its factorization.

10505140422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5321812.

The product of its (nonzero) digits is 1600, while the sum is 24.

Adding to 10505140422 its reverse (22404150501), we get a palindrome (32909290923).

The spelling of 10505140422 in words is "ten billion, five hundred five million, one hundred forty thousand, four hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 47 94 141 282 329 658 987 1974 5321753 10643506 15965259 31930518 37252271 74504542 111756813 223513626 250122391 500244782 750367173 1500734346 1750856737 3501713474 5252570211 10505140422