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11301001101 = 321335211097
BaseRepresentation
bin10101000011001011…
…11001011110001101
31002011120211100010100
422201211321132031
5141121024013401
65105215401313
7550022632035
oct124145713615
932146740110
1011301001101
11487a136435
122234823239
1310b13b6000
14792c648c5
154621e9b86
hex2a197978d

11301001101 has 48 divisors (see below), whose sum is σ = 17733446640. Its totient is φ = 6934786560.

The previous prime is 11301001031. The next prime is 11301001111. The reversal of 11301001101 is 10110010311.

It can be written as a sum of positive squares in 8 ways, for example, as 9818828100 + 1482173001 = 99090^2 + 38499^2 .

It is not a de Polignac number, because 11301001101 - 210 = 11301000077 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11301001111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10301185 + ... + 10302281.

It is an arithmetic number, because the mean of its divisors is an integer number (369446805).

Almost surely, 211301001101 is an apocalyptic number.

It is an amenable number.

11301001101 is a deficient number, since it is larger than the sum of its proper divisors (6432445539).

11301001101 is a wasteful number, since it uses less digits than its factorization.

11301001101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1663 (or 1634 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 11301001101 its reverse (10110010311), we get a palindrome (21411011412).

The spelling of 11301001101 in words is "eleven billion, three hundred one million, one thousand, one hundred one".

Divisors: 1 3 9 13 39 117 169 507 521 1097 1521 1563 2197 3291 4689 6591 6773 9873 14261 19773 20319 42783 60957 88049 128349 185393 264147 556179 571537 792441 1144637 1668537 1714611 2410109 3433911 5143833 7230327 7429981 10301733 21690981 22289943 66869829 96589753 289769259 869307777 1255666789 3767000367 11301001101