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1105414431 = 311232950221
BaseRepresentation
bin100000111100011…
…0100100100011111
32212001000212112020
41001320310210133
54230441230211
6301404511223
736251603412
oct10170644437
92761025466
101105414431
11517a83250
1226a24b513
131480282a4
14a6b4bb79
15670a5306
hex41e3491f

1105414431 has 32 divisors (see below), whose sum is σ = 1735672320. Its totient is φ = 618710400.

The previous prime is 1105414423. The next prime is 1105414439. The reversal of 1105414431 is 1344145011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1105414423) and next prime (1105414439).

It is not a de Polignac number, because 1105414431 - 23 = 1105414423 is a prime.

It is a super-2 number, since 2×11054144312 = 2443882128526107522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1105414439) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3100 + ... + 47121.

It is an arithmetic number, because the mean of its divisors is an integer number (54239760).

Almost surely, 21105414431 is an apocalyptic number.

1105414431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1105414431 is a deficient number, since it is larger than the sum of its proper divisors (630257889).

1105414431 is a wasteful number, since it uses less digits than its factorization.

1105414431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50287.

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 1105414431 is about 33247.7733239386. The cubic root of 1105414431 is about 1033.9710439509.

Adding to 1105414431 its reverse (1344145011), we get a palindrome (2449559442).

The spelling of 1105414431 in words is "one billion, one hundred five million, four hundred fourteen thousand, four hundred thirty-one".

Divisors: 1 3 11 23 29 33 69 87 253 319 667 759 957 2001 7337 22011 50221 150663 552431 1155083 1456409 1657293 3465249 4369227 12705913 16020499 33497407 38117739 48061497 100492221 368471477 1105414431