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11311223310000 = 2432541011244359
BaseRepresentation
bin1010010010011001100101…
…1100101000011010110000
31111001100020121012221000200
42210212121130220122300
52440310341131410000
640020145415115200
72245131441522255
oct244463134503260
944040217187020
1011311223310000
113671076748119
121328235972b00
1364084a5064a3
142b16750b742c
1514936e318500
hexa49997286b0

11311223310000 has 300 divisors, whose sum is σ = 39948667146960. Its totient is φ = 2986459200000.

The previous prime is 11311223309993. The next prime is 11311223310001. The reversal of 11311223310000 is 1332211311.

11311223310000 is a `hidden beast` number, since 1 + 1 + 311 + 22 + 331 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-2 number, since 2×113112233100002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11311223310001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8467821 + ... + 9712179.

Almost surely, 211311223310000 is an apocalyptic number.

11311223310000 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 11311223310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19974333573480).

11311223310000 is an abundant number, since it is smaller than the sum of its proper divisors (28637443836960).

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

11311223310000 is a wasteful number, since it uses less digits than its factorization.

11311223310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244494 (or 1244470 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11311223310000 its reverse (1332211311), we get a palindrome (11312555521311).

The spelling of 11311223310000 in words is "eleven trillion, three hundred eleven billion, two hundred twenty-three million, three hundred ten thousand".