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11000041140 = 22351120818009
BaseRepresentation
bin10100011111010011…
…10100111010110100
31001101121111222200010
422033221310322310
5140012002304030
65015305020220
7536406543534
oct121751647264
931347458603
1011000041140
1147352667a0
12216ba84670
131063c402aa
14764cc14c4
15445a9b6b0
hex28fa74eb4

11000041140 has 96 divisors (see below), whose sum is σ = 33620469120. Its totient is φ = 2665062400.

The previous prime is 11000041109. The next prime is 11000041177. The reversal of 11000041140 is 4114000011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1369456 + ... + 1377464.

It is an arithmetic number, because the mean of its divisors is an integer number (350213220).

Almost surely, 211000041140 is an apocalyptic number.

11000041140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11000041140 is an abundant number, since it is smaller than the sum of its proper divisors (22620427980).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11000041140 is a wasteful number, since it uses less digits than its factorization.

11000041140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10113 (or 10111 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11000041140 its reverse (4114000011), we get a palindrome (15114041151).

The spelling of 11000041140 in words is "eleven billion, forty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 2081 4162 6243 8009 8324 10405 12486 16018 20810 22891 24027 24972 31215 32036 40045 41620 45782 48054 62430 68673 80090 88099 91564 96108 114455 120135 124860 137346 160180 176198 228910 240270 264297 274692 343365 352396 440495 457820 480540 528594 686730 880990 1057188 1321485 1373460 1761980 2642970 5285940 16666729 33333458 50000187 66666916 83333645 100000374 166667290 183334019 200000748 250000935 333334580 366668038 500001870 550002057 733336076 916670095 1000003740 1100004114 1833340190 2200008228 2750010285 3666680380 5500020570 11000041140