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10505332242 = 232583629569
BaseRepresentation
bin10011100100010101…
…01010011000010010
31000010010122011122100
421302022222120102
5133003331112432
64454233421230
7521221564536
oct116212523022
930103564570
1010505332242
114500a93669
12205226a816
13cb55bb632
14719305bc6
1541742b07c
hex2722aa612

10505332242 has 12 divisors (see below), whose sum is σ = 22761553230. Its totient is φ = 3501777408.

The previous prime is 10505332183. The next prime is 10505332247. The reversal of 10505332242 is 24223350501.

It is a happy number.

10505332242 is a `hidden beast` number, since 105 + 0 + 533 + 2 + 24 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10451177361 + 54154881 = 102231^2 + 7359^2 .

It is a super-2 number, since 2×105053322422 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10505332247) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 291814767 + ... + 291814802.

Almost surely, 210505332242 is an apocalyptic number.

10505332242 is an abundant number, since it is smaller than the sum of its proper divisors (12256220988).

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

10505332242 is a wasteful number, since it uses less digits than its factorization.

10505332242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583629577 (or 583629574 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 10505332242 its reverse (24223350501), we get a palindrome (34728682743).

The spelling of 10505332242 in words is "ten billion, five hundred five million, three hundred thirty-two thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 583629569 1167259138 1750888707 3501777414 5252666121 10505332242