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11133034304 = 267151199827
BaseRepresentation
bin10100101111001010…
…01001111101000000
31001201212202201222212
422113211021331000
5140300024044204
65040415321252
7542613141650
oct122745117500
931655681885
1011133034304
1147a33424a7
1221a8520228
131085666282
14778820360
154525bbc6e
hex297949f40

11133034304 has 112 divisors (see below), whose sum is σ = 25573939200. Its totient is φ = 4710182400.

The previous prime is 11133034301. The next prime is 11133034331. The reversal of 11133034304 is 40343033111.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 11133034304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11133034301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13461539 + ... + 13462365.

Almost surely, 211133034304 is an apocalyptic number.

11133034304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11133034304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12786969600).

11133034304 is an abundant number, since it is smaller than the sum of its proper divisors (14440904896).

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

11133034304 is a wasteful number, since it uses less digits than its factorization.

11133034304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 11133034304 its reverse (40343033111), we get a palindrome (51476067415).

The spelling of 11133034304 in words is "eleven billion, one hundred thirty-three million, thirty-four thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 151 199 224 302 398 448 604 796 827 1057 1208 1393 1592 1654 2114 2416 2786 3184 3308 4228 4832 5572 5789 6368 6616 8456 9664 11144 11578 12736 13232 16912 22288 23156 26464 30049 33824 44576 46312 52928 60098 67648 89152 92624 120196 124877 164573 185248 210343 240392 249754 329146 370496 420686 480784 499508 658292 841372 874139 961568 999016 1152011 1316584 1682744 1748278 1923136 1998032 2304022 2633168 3365488 3496556 3996064 4608044 5266336 6730976 6993112 7992128 9216088 10532672 13461952 13986224 18432176 24850523 27972448 36864352 49701046 55944896 73728704 99402092 173953661 198804184 347907322 397608368 695814644 795216736 1391629288 1590433472 2783258576 5566517152 11133034304