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11244431205 = 3357103115523
BaseRepresentation
bin10100111100011100…
…00110011101100101
31002000122101021211000
422132032012131211
5141012033244310
65055435103513
7545435042160
oct123616063545
932018337730
1011244431205
114850208657
1222198a1b99
1310a276a3b7
1478953aad7
1545c2734c0
hex29e386765

11244431205 has 64 divisors (see below), whose sum is σ = 23067832320. Its totient is φ = 5090361408.

The previous prime is 11244431201. The next prime is 11244431213. The reversal of 11244431205 is 50213444211.

11244431205 is a `hidden beast` number, since 1 + 1 + 24 + 4 + 431 + 205 = 666.

It is not a de Polignac number, because 11244431205 - 22 = 11244431201 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11244431201) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39574 + ... + 155096.

It is an arithmetic number, because the mean of its divisors is an integer number (360434880).

Almost surely, 211244431205 is an apocalyptic number.

11244431205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11244431205 is an abundant number, since it is smaller than the sum of its proper divisors (11823401115).

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

11244431205 is a wasteful number, since it uses less digits than its factorization.

11244431205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115647 (or 115641 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 11244431205 its reverse (50213444211), we get a palindrome (61457875416).

The spelling of 11244431205 in words is "eleven billion, two hundred forty-four million, four hundred thirty-one thousand, two hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 103 105 135 189 309 315 515 721 927 945 1545 2163 2781 3605 4635 6489 10815 13905 19467 32445 97335 115523 346569 577615 808661 1039707 1732845 2425983 3119121 4043305 5198535 7277949 11898869 12129915 15595605 21833847 35696607 36389745 59494345 83292083 107089821 109169235 178483035 249876249 321269463 416460415 535449105 749628747 1249381245 1606347315 2248886241 3748143735 11244431205