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11006455134411 = 32111011100755589
BaseRepresentation
bin1010000000101010001111…
…0110010011100011001011
31102222012120210010111000200
42200022203312103203023
52420312210003300121
635224143511303243
72214122135004222
oct240124366234313
942865523114020
1011006455134411
1135638a1a92a40
12129915b67ab23
1361ab9a896809
142a0a029bbcb9
15141483246a26
hexa02a3d938cb

11006455134411 has 24 divisors (see below), whose sum is σ = 17515222948080. Its totient is φ = 6604533528000.

The previous prime is 11006455134359. The next prime is 11006455134443. The reversal of 11006455134411 is 11443155460011.

11006455134411 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 64 + 55 + 134 + 411 = 666.

It is not a de Polignac number, because 11006455134411 - 226 = 11006388025547 is a prime.

It is a super-2 number, since 2×110064551344112 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11006455134461) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 550367796 + ... + 550387793.

It is an arithmetic number, because the mean of its divisors is an integer number (729800956170).

Almost surely, 211006455134411 is an apocalyptic number.

11006455134411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11006455134411 is a deficient number, since it is larger than the sum of its proper divisors (6508767813669).

11006455134411 is a wasteful number, since it uses less digits than its factorization.

11006455134411 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100755707 (or 1100755704 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 11006455134411 in words is "eleven trillion, six billion, four hundred fifty-five million, one hundred thirty-four thousand, four hundred eleven".

Divisors: 1 3 9 11 33 99 101 303 909 1111 3333 9999 1100755589 3302266767 9906800301 12108311479 36324934437 108974803311 111176314489 333528943467 1000586830401 1222939459379 3668818378137 11006455134411