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11012244400 = 2452257107123
BaseRepresentation
bin10100100000110000…
…11000001110110000
31001102110110222101201
422100120120032300
5140023113310100
65020422340544
7536615350543
oct122030301660
931373428351
1011012244400
114741141233
122173b8a754
131066623961
1476677a85a
15446bac36a
hex2906183b0

11012244400 has 60 divisors (see below), whose sum is σ = 26560110312. Its totient is φ = 4387717120.

The previous prime is 11012244391. The next prime is 11012244403. The reversal of 11012244400 is 444221011.

It is not an unprimeable number, because it can be changed into a prime (11012244403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49239 + ... + 156361.

Almost surely, 211012244400 is an apocalyptic number.

11012244400 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 11012244400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13280055156).

11012244400 is an abundant number, since it is smaller than the sum of its proper divisors (15547865912).

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

11012244400 is a wasteful number, since it uses less digits than its factorization.

11012244400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107398 (or 107387 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 11012244400 its reverse (444221011), we get a palindrome (11456465411).

The spelling of 11012244400 in words is "eleven billion, twelve million, two hundred forty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 257 400 514 1028 1285 2056 2570 4112 5140 6425 10280 12850 20560 25700 51400 102800 107123 214246 428492 535615 856984 1071230 1713968 2142460 2678075 4284920 5356150 8569840 10712300 21424600 27530611 42849200 55061222 110122444 137653055 220244888 275306110 440489776 550612220 688265275 1101224440 1376530550 2202448880 2753061100 5506122200 11012244400