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11301223232 = 261397233601
BaseRepresentation
bin10101000011001101…
…01111101101000000
31002011121020121211102
422201212233231000
5141121103120412
65105224233532
7550024545455
oct124146575500
932147217742
1011301223232
11487a278312
12223490b8a8
1310b1463150
14792cc182c
154622408c2
hex2a19afb40

11301223232 has 112 divisors (see below), whose sum is σ = 24545403792. Its totient is φ = 5131468800.

The previous prime is 11301223207. The next prime is 11301223277. The reversal of 11301223232 is 23232210311.

It can be written as a sum of positive squares in 8 ways, for example, as 413552896 + 10887670336 = 20336^2 + 104344^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18803732 + ... + 18804332.

It is an arithmetic number, because the mean of its divisors is an integer number (219155391).

Almost surely, 211301223232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11301223232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12272701896).

11301223232 is an abundant number, since it is smaller than the sum of its proper divisors (13244180560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11301223232 is a wasteful number, since it uses less digits than its factorization.

11301223232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 11301223232 its reverse (23232210311), we get a palindrome (34533433543).

The spelling of 11301223232 in words is "eleven billion, three hundred one million, two hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 97 104 194 208 233 388 416 466 601 776 832 932 1202 1261 1552 1864 2404 2522 3029 3104 3728 4808 5044 6058 6208 7456 7813 9616 10088 12116 14912 15626 19232 20176 22601 24232 31252 38464 40352 45202 48464 58297 62504 80704 90404 96928 116594 125008 140033 180808 193856 233188 250016 280066 293813 361616 466376 500032 560132 587626 723232 757861 932752 1120264 1175252 1446464 1515722 1820429 1865504 2240528 2350504 3031444 3640858 3731008 4481056 4701008 6062888 7281716 8962112 9402016 12125776 13583201 14563432 18804032 24251552 27166402 29126864 48503104 54332804 58253728 108665608 116507456 176581613 217331216 353163226 434662432 706326452 869324864 1412652904 2825305808 5650611616 11301223232