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1311144043332 = 22317192117012287
BaseRepresentation
bin10011000101000110010…
…001100110001101000100
311122100021212211111202210
4103011012101212031010
5132440210333341312
62442155315103420
7163504241324544
oct23050621461504
94570255744683
101311144043332
114660646a3962
121921375a1b70
1396842b16616
1447661633324
152418c468e3c
hex13146466344

1311144043332 has 192 divisors, whose sum is σ = 3432333864960. Its totient is φ = 387120384000.

The previous prime is 1311144043289. The next prime is 1311144043337. The reversal of 1311144043332 is 2333404411131.

It is a self number, because there is not a number n which added to its sum of digits gives 1311144043332.

It is not an unprimeable number, because it can be changed into a prime (1311144043337) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 573301893 + ... + 573304179.

It is an arithmetic number, because the mean of its divisors is an integer number (17876738880).

Almost surely, 21311144043332 is an apocalyptic number.

1311144043332 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 1311144043332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1716166932480).

1311144043332 is an abundant number, since it is smaller than the sum of its proper divisors (2121189821628).

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

1311144043332 is a wasteful number, since it uses less digits than its factorization.

1311144043332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3242 (or 3240 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 1311144043332 its reverse (2333404411131), we get a palindrome (3644548454463).

The spelling of 1311144043332 in words is "one trillion, three hundred eleven billion, one hundred forty-four million, forty-three thousand, three hundred thirty-two".