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11081878171 = 721331243421
BaseRepresentation
bin10100101001000100…
…00000101010011011
31001121022111201222021
422110202000222123
5140143430100141
65031351035311
7541422260500
oct122442005233
931538451867
1011081878171
114777482101
12219336bb37
131077b94880
14771b054a7
1544cd646d1
hex294880a9b

11081878171 has 72 divisors (see below), whose sum is σ = 14713543152. Its totient is φ = 8268220800.

The previous prime is 11081878153. The next prime is 11081878187. The reversal of 11081878171 is 17187818011.

It is not a de Polignac number, because 11081878171 - 217 = 11081747099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is the 105271-st Hogben number.

It is not an unprimeable number, because it can be changed into a prime (11081878271) by changing a digit.

It is a nontrivial repunit in base 105270.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26322541 + ... + 26322961.

It is an arithmetic number, because the mean of its divisors is an integer number (204354766).

Almost surely, 211081878171 is an apocalyptic number.

11081878171 is a deficient number, since it is larger than the sum of its proper divisors (3631664981).

11081878171 is a wasteful number, since it uses less digits than its factorization.

11081878171 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 43.

The spelling of 11081878171 in words is "eleven billion, eighty-one million, eight hundred seventy-eight thousand, one hundred seventy-one".

Divisors: 1 7 13 31 43 49 91 217 301 403 421 559 637 961 1333 1519 2107 2821 2947 3913 5473 6727 9331 12493 13051 17329 18103 19747 20629 27391 38311 41323 47089 65317 87451 91357 121303 126721 169663 235339 268177 289261 404581 537199 561193 612157 639499 849121 887047 1187641 1647373 2024827 2832067 3760393 3928351 5259553 7295509 8313487 11531611 17396983 19824469 26322751 27498457 36816871 51068563 121778881 226160779 257718097 357479941 852452167 1583125453 11081878171