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10561216501 = 112106981649
BaseRepresentation
bin10011101010111111…
…10101111111110101
31000021000210101102201
421311133311333311
5133112132412001
64503551304501
7522500600443
oct116537657765
930230711381
1010561216501
11452a593300
122068b1b131
13cc4057144
147228d1b93
1541c2b9501
hex2757f5ff5

10561216501 has 12 divisors (see below), whose sum is σ = 11619611500. Its totient is φ = 9592007040.

The previous prime is 10561216489. The next prime is 10561216507.

It is a happy number.

10561216501 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 7097894001 + 3463322500 = 84249^2 + 58850^2 .

It is not a de Polignac number, because 10561216501 - 215 = 10561183733 is a prime.

It is a super-2 number, since 2×105612165012 (a number of 21 digits) contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

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 10561216501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10561216507) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88525 + ... + 170173.

Almost surely, 210561216501 is an apocalyptic number.

10561216501 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10561216501 is a deficient number, since it is larger than the sum of its proper divisors (1058394999).

10561216501 is a wasteful number, since it uses less digits than its factorization.

10561216501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82740 (or 82729 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 28.

The spelling of 10561216501 in words is "ten billion, five hundred sixty-one million, two hundred sixteen thousand, five hundred one".

Divisors: 1 11 121 1069 11759 81649 129349 898139 9879529 87282781 960110591 10561216501