Search a number
-
+
10523010001 = 733116632731
BaseRepresentation
bin10011100110011100…
…00110001111010001
31000011100220021222011
421303032012033101
5133022342310001
64500104342521
7521525052310
oct116316061721
930140807864
1010523010001
11450aa68189
122058174a41
13cb916aa4a
1471b7c8277
15418c6dd51
hex2733863d1

10523010001 has 16 divisors (see below), whose sum is σ = 12074303488. Its totient is φ = 8983774800.

The previous prime is 10523009971. The next prime is 10523010019. The reversal of 10523010001 is 10001032501.

10523010001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10523010001 - 221 = 10520912849 is a prime.

It is a super-2 number, since 2×105230100012 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10523010041) 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, 3851806 + ... + 3854536.

It is an arithmetic number, because the mean of its divisors is an integer number (754643968).

Almost surely, 210523010001 is an apocalyptic number.

It is an amenable number.

10523010001 is a deficient number, since it is larger than the sum of its proper divisors (1551293487).

10523010001 is a wasteful number, since it uses less digits than its factorization.

10523010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4732.

The product of its (nonzero) digits is 30, while the sum is 13.

Adding to 10523010001 its reverse (10001032501), we get a palindrome (20524042502).

The spelling of 10523010001 in words is "ten billion, five hundred twenty-three million, ten thousand, one".

Divisors: 1 7 331 1663 2317 2731 11641 19117 550453 903961 3853171 4541653 6327727 31791571 1503287143 10523010001