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11041131330 = 2335311131489
BaseRepresentation
bin10100100100001101…
…00100101101000010
31001111110211120211000
422102012210231002
5140103012200310
65023333432430
7540416032155
oct122206445502
931443746730
1011041131330
114756481429
12218179b716
13106c5c9108
1476a539c9c
154494b64c0
hex2921a4b42

11041131330 has 64 divisors (see below), whose sum is σ = 29537913600. Its totient is φ = 2934812160.

The previous prime is 11041131323. The next prime is 11041131341. The reversal of 11041131330 is 3313114011.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18226 + ... + 149714.

It is an arithmetic number, because the mean of its divisors is an integer number (461529900).

Almost surely, 211041131330 is an apocalyptic number.

11041131330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11041131330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14768956800).

11041131330 is an abundant number, since it is smaller than the sum of its proper divisors (18496782270).

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

11041131330 is a wasteful number, since it uses less digits than its factorization.

11041131330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131816 (or 131810 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11041131330 its reverse (3313114011), we get a palindrome (14354245341).

The spelling of 11041131330 in words is "eleven billion, forty-one million, one hundred thirty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 311 622 933 1555 1866 2799 3110 4665 5598 8397 9330 13995 16794 27990 41985 83970 131489 262978 394467 657445 788934 1183401 1314890 1972335 2366802 3550203 3944670 5917005 7100406 11834010 17751015 35502030 40893079 81786158 122679237 204465395 245358474 368037711 408930790 613396185 736075422 1104113133 1226792370 1840188555 2208226266 3680377110 5520565665 11041131330