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11077034107041 = 337232639688981
BaseRepresentation
bin1010000100110001001010…
…1011101110000010100001
31110012221202112220210001000
42201030102223232002201
52422441231212411131
635320415203502213
72222201142244560
oct241142253560241
943187675823030
1011077034107041
11359081aa80791
1212aa978387969
13624737c56b06
142a41ba465bd7
151432145bece6
hexa1312aee0a1

11077034107041 has 64 divisors (see below), whose sum is σ = 19644604784640. Its totient is φ = 6031506317760.

The previous prime is 11077034107039. The next prime is 11077034107129. The reversal of 11077034107041 is 14070143077011.

It is a happy number.

11077034107041 is a `hidden beast` number, since 1 + 107 + 70 + 3 + 410 + 70 + 4 + 1 = 666.

It is not a de Polignac number, because 11077034107041 - 21 = 11077034107039 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11077034106987 and 11077034107005.

It is not an unprimeable number, because it can be changed into a prime (11077034107241) 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, 3701230 + ... + 5987751.

It is an arithmetic number, because the mean of its divisors is an integer number (306946949760).

Almost surely, 211077034107041 is an apocalyptic number.

It is an amenable number.

11077034107041 is a deficient number, since it is larger than the sum of its proper divisors (8567570677599).

11077034107041 is a wasteful number, since it uses less digits than its factorization.

11077034107041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9689283 (or 9689277 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

The spelling of 11077034107041 in words is "eleven trillion, seventy-seven billion, thirty-four million, one hundred seven thousand, forty-one".

Divisors: 1 3 7 9 21 23 27 63 69 161 189 207 263 483 621 789 1449 1841 2367 4347 5523 6049 7101 16569 18147 42343 49707 54441 127029 163323 381087 1143261 9688981 29066943 67822867 87200829 203468601 222846563 261602487 610405803 668539689 1559925941 1831217409 2005619067 2548202003 4679777823 6016857201 7644606009 14039333469 17837414021 22933818027 42118000407 53512242063 58608646069 68801454081 160536726189 175825938207 410260522483 481610178567 527477814621 1230781567449 1582433443863 3692344702347 11077034107041