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11333200140141 = 31117313180135837
BaseRepresentation
bin1010010011101011011101…
…0111100101011101101101
31111010102222012111120102120
42210322313113211131231
52441140343213441031
640034222242543153
72246540156510325
oct244726727453555
944112865446376
1011333200140141
11367a424028960
121330549967ab9
136429406052a9
142b275bb46285
15149c088bba96
hexa4eb75e576d

11333200140141 has 64 divisors (see below), whose sum is σ = 17520316298496. Its totient is φ = 6440159232000.

The previous prime is 11333200140137. The next prime is 11333200140181. The reversal of 11333200140141 is 14104100233311.

It is a happy number.

It is not a de Polignac number, because 11333200140141 - 22 = 11333200140137 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11333200140181) 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, 316225075 + ... + 316260911.

It is an arithmetic number, because the mean of its divisors is an integer number (273754942164).

Almost surely, 211333200140141 is an apocalyptic number.

11333200140141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11333200140141 is a deficient number, since it is larger than the sum of its proper divisors (6187116158355).

11333200140141 is a wasteful number, since it uses less digits than its factorization.

11333200140141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37982.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 11333200140141 its reverse (14104100233311), we get a palindrome (25437300373452).

The spelling of 11333200140141 in words is "eleven trillion, three hundred thirty-three billion, two hundred million, one hundred forty thousand, one hundred forty-one".

Divisors: 1 3 11 17 33 51 187 313 561 939 1801 3443 5321 5403 10329 15963 19811 30617 35837 58531 59433 91851 107511 175593 336787 394207 563713 609229 1010361 1182621 1691139 1827687 6200843 6701519 9583121 11216981 18602529 20104557 28749363 33650943 64542437 105414331 123386791 190688677 193627311 316242993 370160373 572066031 709966807 1097221429 2097575447 2129900421 3291664287 6292726341 12069435719 20201782781 36208307157 60605348343 222219610591 343430307277 666658831773 1030290921831 3777733380047 11333200140141