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11130040233 = 32131710975101
BaseRepresentation
bin10100101110110011…
…01110111110101001
31001201200010121220100
422113121232332221
5140243242241413
65040231220013
7542545531614
oct122731567651
931650117810
1011130040233
1147a1687a64
1221a7517609
131084b58530
1477828117b
154521c9a73
hex29766efa9

11130040233 has 48 divisors (see below), whose sum is σ = 18352138896. Its totient is φ = 6439219200.

The previous prime is 11130040223. The next prime is 11130040247. The reversal of 11130040233 is 33204003111.

It can be written as a sum of positive squares in 8 ways, for example, as 2960230464 + 8169809769 = 54408^2 + 90387^2 .

It is not a de Polignac number, because 11130040233 - 24 = 11130040217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11130040223) 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, 2179383 + ... + 2184483.

It is an arithmetic number, because the mean of its divisors is an integer number (382336227).

Almost surely, 211130040233 is an apocalyptic number.

11130040233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11130040233 is a deficient number, since it is larger than the sum of its proper divisors (7222098663).

11130040233 is a wasteful number, since it uses less digits than its factorization.

11130040233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6234 (or 6231 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11130040233 its reverse (33204003111), we get a palindrome (44334043344).

The spelling of 11130040233 in words is "eleven billion, one hundred thirty million, forty thousand, two hundred thirty-three".

Divisors: 1 3 9 13 17 39 51 117 153 221 663 1097 1989 3291 5101 9873 14261 15303 18649 42783 45909 55947 66313 86717 128349 167841 198939 242437 260151 596817 727311 780453 1127321 2181933 3381963 5595797 10145889 16787391 50362173 72745361 95128549 218236083 285385647 654708249 856156941 1236671137 3710013411 11130040233