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11012312300256 = 2533192546926339
BaseRepresentation
bin1010000001000000000011…
…1101100111101011100000
31102222202200222102100002000
42200100000331213223200
52420411203422102011
635230553022524000
72214420236046411
oct240200075475340
942882628370060
1011012312300256
113566328226373
12129a315136600
1361b5c21a2217
142a0dda849808
151416c7568356
hexa0400f67ae0

11012312300256 has 192 divisors, whose sum is σ = 33812341920000. Its totient is φ = 3477303737856.

The previous prime is 11012312300191. The next prime is 11012312300257. The reversal of 11012312300256 is 65200321321011.

11012312300256 is a `hidden beast` number, since 1 + 10 + 12 + 312 + 300 + 25 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11012312300257) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 418085935 + ... + 418112273.

It is an arithmetic number, because the mean of its divisors is an integer number (176105947500).

Almost surely, 211012312300256 is an apocalyptic number.

11012312300256 is a gapful number since it is divisible by the number (16) 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 11012312300256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16906170960000).

11012312300256 is an abundant number, since it is smaller than the sum of its proper divisors (22800029619744).

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

11012312300256 is a wasteful number, since it uses less digits than its factorization.

11012312300256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51846 (or 51832 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 11012312300256 its reverse (65200321321011), we get a palindrome (76212633621267).

The spelling of 11012312300256 in words is "eleven trillion, twelve billion, three hundred twelve million, three hundred thousand, two hundred fifty-six".