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11312014421232 = 2432725233306359
BaseRepresentation
bin1010010010011100100010…
…0110011110110011110000
31111001102021201211112121200
42210213020212132303300
52440314001142434412
640020400115251200
72245160156045100
oct244471046366360
944042251745550
1011312014421232
113671442267758
1213284168a9b00
13640945396545
142b170c1ab200
151493b89d69dc
hexa49c899ecf0

11312014421232 has 180 divisors, whose sum is σ = 36833728361040. Its totient is φ = 3231375952896.

The previous prime is 11312014421231. The next prime is 11312014421243. The reversal of 11312014421232 is 23212441021311.

11312014421232 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 2 + 0 + 1 + 4 + 421 + 232 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11312014421196 and 11312014421205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11312014421231) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36770869 + ... + 37077227.

It is an arithmetic number, because the mean of its divisors is an integer number (204631824228).

Almost surely, 211312014421232 is an apocalyptic number.

11312014421232 is a gapful number since it is divisible by the number (12) 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 11312014421232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18416864180520).

11312014421232 is an abundant number, since it is smaller than the sum of its proper divisors (25521713939808).

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

11312014421232 is a wasteful number, since it uses less digits than its factorization.

11312014421232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311620 (or 311604 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 11312014421232 its reverse (23212441021311), we get a palindrome (34524455442543).

The spelling of 11312014421232 in words is "eleven trillion, three hundred twelve billion, fourteen million, four hundred twenty-one thousand, two hundred thirty-two".