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10541260801 = 23231642799
BaseRepresentation
bin10011101000100111…
…01110000000000001
31000012122020112100201
421310103232000001
5133042030321201
64501555445201
7522136144531
oct116423560001
930178215321
1010541260801
11451a2a3295
1220622b6801
13cbcb8ac36
1471ddb94c1
1541a676801
hex2744ee001

10541260801 has 12 divisors (see below), whose sum is σ = 11374988800. Its totient is φ = 9757673640.

The previous prime is 10541260699. The next prime is 10541260811. The reversal of 10541260801 is 10806214501.

It is not a de Polignac number, because 10541260801 - 223 = 10532872193 is a prime.

It is a super-2 number, since 2×105412608012 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10541260801.

It is not an unprimeable number, because it can be changed into a prime (10541260811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 305001 + ... + 337798.

Almost surely, 210541260801 is an apocalyptic number.

It is an amenable number.

10541260801 is a deficient number, since it is larger than the sum of its proper divisors (833727999).

10541260801 is an equidigital number, since it uses as much as digits as its factorization.

10541260801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642876 (or 642853 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The spelling of 10541260801 in words is "ten billion, five hundred forty-one million, two hundred sixty thousand, eight hundred one".

Divisors: 1 23 31 529 713 16399 642799 14784377 19926769 340040671 458315687 10541260801