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1011110224113 = 341129257915173
BaseRepresentation
bin11101011011010101101…
…11011010000011110001
310120122212000021021210000
432231222313122003301
5113031223204132423
62052255253100213
7133023153045663
oct16555267320361
93518760237700
101011110224113
1135a89a3a87a0
12143b62927669
1374468ca6552
1436d1bc0a533
151b47bd29843
hexeb6adda0f1

1011110224113 has 80 divisors (see below), whose sum is σ = 1705326955200. Its totient is φ = 591394849920.

The previous prime is 1011110224097. The next prime is 1011110224129. The reversal of 1011110224113 is 3114220111101.

It is an interprime number because it is at equal distance from previous prime (1011110224097) and next prime (1011110224129).

It is not a de Polignac number, because 1011110224113 - 24 = 1011110224097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1011110224213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 66631195 + ... + 66646367.

It is an arithmetic number, because the mean of its divisors is an integer number (21316586940).

Almost surely, 21011110224113 is an apocalyptic number.

It is an amenable number.

1011110224113 is a deficient number, since it is larger than the sum of its proper divisors (694216731087).

1011110224113 is a wasteful number, since it uses less digits than its factorization.

1011110224113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17804 (or 17795 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 1011110224113 its reverse (3114220111101), we get a palindrome (4125330335214).

The spelling of 1011110224113 in words is "one trillion, eleven billion, one hundred ten million, two hundred twenty-four thousand, one hundred thirteen".

Divisors: 1 3 9 11 27 29 33 81 87 99 261 297 319 783 891 957 2349 2579 2871 7737 8613 15173 23211 25839 28369 45519 69633 74791 85107 136557 166903 208899 224373 255321 409671 440017 500709 673119 765963 822701 1229013 1320051 1502127 2019357 2297889 2468103 3960153 4506381 4840187 6058071 7404309 11880459 13519143 14520561 22212927 35641377 39131167 43561683 66638781 117393501 130685049 352180503 392055147 430442837 1056541509 1134803843 1291328511 3169624527 3404411529 3873985533 10213234587 11621956599 12482842273 30639703761 34865869797 37448526819 91919111283 112345580457 337036741371 1011110224113