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11144200002 = 23137312491567
BaseRepresentation
bin10100110000011111…
…01111111101000010
31001202122210000110020
422120033233331002
5140310403400002
65041454514310
7543110065005
oct123017577502
931678700406
1011144200002
1147a9679451
1221b0205996
131087a755b0
1477a0c953c
154535752bc
hex2983eff42

11144200002 has 64 divisors (see below), whose sum is σ = 24366720000. Its totient is φ = 3377147904.

The previous prime is 11144199967. The next prime is 11144200019. The reversal of 11144200002 is 20000244111.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 7111023 + ... + 7112589.

It is an arithmetic number, because the mean of its divisors is an integer number (380730000).

Almost surely, 211144200002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11144200002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12183360000).

11144200002 is an abundant number, since it is smaller than the sum of its proper divisors (13222519998).

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

11144200002 is a wasteful number, since it uses less digits than its factorization.

11144200002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2907.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 11144200002 its reverse (20000244111), we get a palindrome (31144444113).

The spelling of 11144200002 in words is "eleven billion, one hundred forty-four million, two hundred thousand, two".

Divisors: 1 2 3 6 13 26 39 73 78 146 219 438 949 1249 1567 1898 2498 2847 3134 3747 4701 5694 7494 9402 16237 20371 32474 40742 48711 61113 91177 97422 114391 122226 182354 228782 273531 343173 547062 686346 1185301 1487083 1957183 2370602 2974166 3555903 3914366 4461249 5871549 7111806 8922498 11743098 25443379 50886758 76330137 142874359 152660274 285748718 428623077 857246154 1857366667 3714733334 5572100001 11144200002