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11222160506161 = 112310124679311
BaseRepresentation
bin1010001101001101110011…
…1000111111110100110001
31110201211100122211201100021
42203103130320333310301
52432330441042144121
635511220034123441
72235526412264113
oct243233470776461
943654318751307
1011222160506161
113637323054410
121312b1aa20581
13635325902167
142ab2268593b3
15146daa3b4641
hexa34dce3fd31

11222160506161 has 48 divisors (see below), whose sum is σ = 12931383988224. Its totient is φ = 9640058120000.

The previous prime is 11222160506147. The next prime is 11222160506177. The reversal of 11222160506161 is 16160506122211.

It is not a de Polignac number, because 11222160506161 - 215 = 11222160473393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11222160506101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1205253696 + ... + 1205263006.

It is an arithmetic number, because the mean of its divisors is an integer number (269403833088).

Almost surely, 211222160506161 is an apocalyptic number.

11222160506161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11222160506161 is a deficient number, since it is larger than the sum of its proper divisors (1709223482063).

11222160506161 is a wasteful number, since it uses less digits than its factorization.

11222160506161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10014 (or 9913 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 34.

Adding to 11222160506161 its reverse (16160506122211), we get a palindrome (27382666628372).

It can be divided in two parts, 1122216050 and 6161, that added together give a palindrome (1122222211).

The spelling of 11222160506161 in words is "eleven trillion, two hundred twenty-two billion, one hundred sixty million, five hundred six thousand, one hundred sixty-one".

Divisors: 1 11 23 101 253 467 1111 2323 5137 9311 10201 10741 25553 47167 102421 112211 118151 214153 234623 518837 940411 1084841 2355683 2580853 4348237 4763867 10344521 11933251 21629453 47830607 52402537 94981511 100009451 109568941 237923983 439171937 1044796621 1100103961 1205258351 2184574753 4830891307 10100954551 24030322283 44356365637 111110500061 487920022007 1020196409651 11222160506161