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11961081 = 33111723103
BaseRepresentation
bin101101101000…
…001011111001
3211111200112000
4231220023321
511030223311
61104211213
7203444646
oct55501371
924450460
1011961081
11682a5a0
124009b09
13262a382
141834dcd
1510b4056
hexb682f9

11961081 has 64 divisors (see below), whose sum is σ = 21565440. Its totient is φ = 6462720.

The previous prime is 11961067. The next prime is 11961083. The reversal of 11961081 is 18016911.

It is not a de Polignac number, because 11961081 - 25 = 11961049 is a prime.

It is a super-2 number, since 2×119610812 = 286134917377122, which contains 22 as substring.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11961083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 116076 + ... + 116178.

It is an arithmetic number, because the mean of its divisors is an integer number (336960).

Almost surely, 211961081 is an apocalyptic number.

11961081 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11961081 is a deficient number, since it is larger than the sum of its proper divisors (9604359).

11961081 is a wasteful number, since it uses less digits than its factorization.

11961081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 27.

The square root of 11961081 is about 3458.4795792371. The cubic root of 11961081 is about 228.6950741548.

Adding to 11961081 its reverse (18016911), we get a palindrome (29977992).

The spelling of 11961081 in words is "eleven million, nine hundred sixty-one thousand, eighty-one".

Divisors: 1 3 9 11 17 23 27 33 51 69 99 103 153 187 207 253 297 309 391 459 561 621 759 927 1133 1173 1683 1751 2277 2369 2781 3399 3519 4301 5049 5253 6831 7107 10197 10557 12903 15759 19261 21321 26059 30591 38709 40273 47277 57783 63963 78177 116127 120819 173349 234531 362457 443003 520047 703593 1087371 1329009 3987027 11961081