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1011414133341 = 32254344191643
BaseRepresentation
bin11101011011111001111…
…10101110101001011101
310120200122012010110212100
432231330332232221131
5113032334004231331
62052345350555313
7133033533166503
oct16557476565135
93520565113770
101011414133341
1135aa35a02247
12144028668b39
13744b6c427b1
1436d4a31a673
151b49885bae6
hexeb7cfaea5d

1011414133341 has 12 divisors (see below), whose sum is σ = 1461506050368. Its totient is φ = 674010923784.

The previous prime is 1011414133339. The next prime is 1011414133363. The reversal of 1011414133341 is 1433314141101.

1011414133341 is a `hidden beast` number, since 101 + 141 + 413 + 3 + 3 + 4 + 1 = 666.

It is not a de Polignac number, because 1011414133341 - 21 = 1011414133339 is a prime.

It is a super-3 number, since 3×10114141333413 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011414135341) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22072935 + ... + 22118708.

It is an arithmetic number, because the mean of its divisors is an integer number (121792170864).

Almost surely, 21011414133341 is an apocalyptic number.

It is an amenable number.

1011414133341 is a deficient number, since it is larger than the sum of its proper divisors (450091917027).

1011414133341 is a wasteful number, since it uses less digits than its factorization.

1011414133341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44194192 (or 44194189 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 1011414133341 its reverse (1433314141101), we get a palindrome (2444728274442).

The spelling of 1011414133341 in words is "one trillion, eleven billion, four hundred fourteen million, one hundred thirty-three thousand, three hundred forty-one".

Divisors: 1 3 9 2543 7629 22887 44191643 132574929 397724787 112379348149 337138044447 1011414133341