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11121211300 = 2252172384817
BaseRepresentation
bin10100101101110000…
…00011011110100100
31001201001112001212211
422112320003132210
5140234012230200
65035314053204
7542410510363
oct122670033644
931631461784
1011121211300
1147976a7721
1221a457a204
131083086a04
147770237da
15451533aba
hex296e037a4

11121211300 has 54 divisors (see below), whose sum is σ = 25636190342. Its totient is φ = 4186798080.

The previous prime is 11121211291. The next prime is 11121211301. The reversal of 11121211300 is 311212111.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 1654699684 + 9466511616 = 40678^2 + 97296^2 .

It is not an unprimeable number, because it can be changed into a prime (11121211301) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 163509 + ... + 221308.

Almost surely, 211121211300 is an apocalyptic number.

11121211300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11121211300 is an abundant number, since it is smaller than the sum of its proper divisors (14514979042).

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

11121211300 is a wasteful number, since it uses less digits than its factorization.

11121211300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384865 (or 384841 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 11121211300 its reverse (311212111), we get a palindrome (11432423411).

The spelling of 11121211300 in words is "eleven billion, one hundred twenty-one million, two hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 289 340 425 578 850 1156 1445 1700 2890 5780 7225 14450 28900 384817 769634 1539268 1924085 3848170 6541889 7696340 9620425 13083778 19240850 26167556 32709445 38481700 65418890 111212113 130837780 163547225 222424226 327094450 444848452 556060565 654188900 1112121130 2224242260 2780302825 5560605650 11121211300