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10641160101 = 3111324804569
BaseRepresentation
bin10011110100100001…
…10011011110100101
31000110121012221102210
421322100303132211
5133243114110401
64515524554033
7524461240245
oct117220633645
930417187383
1010641160101
1145707260a0
12208b852919
131007797950
1472d381b25
1542430b4d6
hex27a4337a5

10641160101 has 16 divisors (see below), whose sum is σ = 16668671040. Its totient is φ = 5953096320.

The previous prime is 10641160097. The next prime is 10641160129. The reversal of 10641160101 is 10106114601.

It is not a de Polignac number, because 10641160101 - 22 = 10641160097 is a prime.

It is a super-2 number, since 2×106411601012 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10641162101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12401856 + ... + 12402713.

It is an arithmetic number, because the mean of its divisors is an integer number (1041791940).

Almost surely, 210641160101 is an apocalyptic number.

10641160101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10641160101 is a deficient number, since it is larger than the sum of its proper divisors (6027510939).

10641160101 is a wasteful number, since it uses less digits than its factorization.

10641160101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24804596.

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 10641160101 its reverse (10106114601), we get a palindrome (20747274702).

The spelling of 10641160101 in words is "ten billion, six hundred forty-one million, one hundred sixty thousand, one hundred one".

Divisors: 1 3 11 13 33 39 143 429 24804569 74413707 272850259 322459397 818550777 967378191 3547053367 10641160101