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11120171427 = 341783149653
BaseRepresentation
bin10100101101101000…
…00101100110100011
31001200222120020110000
422112310011212203
5140233230441202
65035235511043
7542365616601
oct122664054643
931628506400
1011120171427
114797057422
1221a4158483
131082ab15c1
14776c32871
154513ca91c
hex296d059a3

11120171427 has 80 divisors (see below), whose sum is σ = 17947591200. Its totient is φ = 6836548608.

The previous prime is 11120171411. The next prime is 11120171429. The reversal of 11120171427 is 72417102111.

It is not a de Polignac number, because 11120171427 - 24 = 11120171411 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 11120171427.

It is not an unprimeable number, because it can be changed into a prime (11120171429) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17029033 + ... + 17029685.

It is an arithmetic number, because the mean of its divisors is an integer number (224344890).

Almost surely, 211120171427 is an apocalyptic number.

11120171427 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

11120171427 is a deficient number, since it is larger than the sum of its proper divisors (6827419773).

11120171427 is a wasteful number, since it uses less digits than its factorization.

11120171427 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 27.

Adding to 11120171427 its reverse (72417102111), we get a palindrome (83537273538).

The spelling of 11120171427 in words is "eleven billion, one hundred twenty million, one hundred seventy-one thousand, four hundred twenty-seven".

Divisors: 1 3 9 17 27 51 81 83 149 153 249 447 459 653 747 1341 1377 1411 1959 2241 2533 4023 4233 5877 6723 7599 11101 12069 12367 12699 17631 22797 33303 37101 38097 52893 54199 68391 97297 99909 111303 114291 162597 205173 210239 291891 299727 333909 487791 630717 875673 899181 921383 1001727 1463373 1654049 1892151 2627019 2764149 4390119 4962147 5676453 7881057 8075651 8292447 14886441 17029359 24226953 24877341 44659323 72680859 74632023 133977969 137286067 218042577 411858201 654127731 1235574603 3706723809 11120171427