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11113303400 = 2352677111681
BaseRepresentation
bin10100101100110011…
…11000110101101000
31001200111122022021122
422112121320311220
5140230001202100
65034432354412
7542253343313
oct122631706550
931614568248
1011113303400
114793196371
1221a19a5a08
131081548494
14775d6597a
154509c0985
hex296678d68

11113303400 has 96 divisors (see below), whose sum is σ = 26595708480. Its totient is φ = 4316928000.

The previous prime is 11113303391. The next prime is 11113303423. The reversal of 11113303400 is 430331111.

11113303400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 945560 + ... + 957240.

It is an arithmetic number, because the mean of its divisors is an integer number (277038630).

Almost surely, 211113303400 is an apocalyptic number.

11113303400 is a gapful number since it is divisible by the number (10) 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 11113303400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13297854240).

11113303400 is an abundant number, since it is smaller than the sum of its proper divisors (15482405080).

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

11113303400 is a wasteful number, since it uses less digits than its factorization.

11113303400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11835 (or 11826 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 11113303400 its reverse (430331111), we get a palindrome (11543634511).

The spelling of 11113303400 in words is "eleven billion, one hundred thirteen million, three hundred three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 67 71 100 134 142 200 268 284 335 355 536 568 670 710 1340 1420 1675 1775 2680 2840 3350 3550 4757 6700 7100 9514 11681 13400 14200 19028 23362 23785 38056 46724 47570 58405 93448 95140 116810 118925 190280 233620 237850 292025 467240 475700 584050 782627 829351 951400 1168100 1565254 1658702 2336200 3130508 3317404 3913135 4146755 6261016 6634808 7826270 8293510 15652540 16587020 19565675 20733775 31305080 33174040 39131350 41467550 55566517 78262700 82935100 111133034 156525400 165870200 222266068 277832585 444532136 555665170 1111330340 1389162925 2222660680 2778325850 5556651700 11113303400