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11102001141 = 3711173379733
BaseRepresentation
bin10100101011011101…
…10001011111110101
31001122201101002111110
422111232301133311
5140214103014031
65033350225233
7542055311160
oct122556613765
931581332443
1011102001141
114787876860
12219a055219
13107c0bbc5a
14774662ad7
1544e9dbc46
hex295bb17f5

11102001141 has 64 divisors (see below), whose sum is σ = 18636318720. Its totient is φ = 5711005440.

The previous prime is 11102001101. The next prime is 11102001143. The reversal of 11102001141 is 14110020111.

It is not a de Polignac number, because 11102001141 - 27 = 11102001013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11102001143) 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, 15145611 + ... + 15146343.

It is an arithmetic number, because the mean of its divisors is an integer number (291192480).

Almost surely, 211102001141 is an apocalyptic number.

11102001141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11102001141 is a deficient number, since it is larger than the sum of its proper divisors (7534317579).

11102001141 is a wasteful number, since it uses less digits than its factorization.

11102001141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11102001141 its reverse (14110020111), we get a palindrome (25212021252).

The spelling of 11102001141 in words is "eleven billion, one hundred two million, one thousand, one hundred forty-one".

Divisors: 1 3 7 11 21 33 77 173 231 379 519 733 1137 1211 1903 2199 2653 3633 4169 5131 5709 7959 8063 12507 13321 15393 24189 29183 39963 56441 65567 87549 126809 169323 196701 277807 380427 458969 721237 833421 887663 1376907 1394899 1944649 2163711 2662989 3055877 4184697 5048659 5833947 9167631 9764293 15145977 21391139 29292879 48060611 64173417 144181833 336424277 528666721 1009272831 1586000163 3700667047 11102001141