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1011101120212 = 2241113197276953
BaseRepresentation
bin11101011011010100101…
…00101011011011010100
310120122211101010202120111
432231222110223123110
5113031213341321322
62052254330012404
7133023012501001
oct16555224533324
93518741122514
101011101120212
1135a89524a907
12143b5b877104
1374467139821
1436d1a91a8a8
151b47b12c177
hexeb6a52b6d4

1011101120212 has 48 divisors (see below), whose sum is σ = 1837913272272. Its totient is φ = 486372024320.

The previous prime is 1011101120149. The next prime is 1011101120273. The reversal of 1011101120212 is 2120211011101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 76023724176 + 935077396036 = 275724^2 + 966994^2 .

It is a super-2 number, since 2×10111011202122 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1011101120192 and 1011101120201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3512328 + ... + 3789280.

It is an arithmetic number, because the mean of its divisors is an integer number (38289859839).

Almost surely, 21011101120212 is an apocalyptic number.

It is an amenable number.

1011101120212 is a deficient number, since it is larger than the sum of its proper divisors (826812152060).

1011101120212 is a wasteful number, since it uses less digits than its factorization.

1011101120212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277308 (or 277306 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 1011101120212 its reverse (2120211011101), we get a palindrome (3131312131313).

The spelling of 1011101120212 in words is "one trillion, eleven billion, one hundred one million, one hundred twenty thousand, two hundred twelve".

Divisors: 1 2 4 41 82 113 164 197 226 394 452 788 4633 8077 9266 16154 18532 22261 32308 44522 89044 276953 553906 912701 1107812 1825402 3650804 11355073 22710146 31295689 45420292 54559741 62591378 109119482 125182756 218238964 1283123249 2236949381 2566246498 4473898762 5132492996 6165250733 8947797524 12330501466 24661002932 252775280053 505550560106 1011101120212