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10440212211 = 32111326873019
BaseRepresentation
bin10011011100100100…
…01111111011110011
3222221121002201202100
421232102033323303
5132340143242321
64443545551443
7516501224322
oct115622177363
928847081670
1010440212211
114478255a60
1220344a5583
13ca4c6b080
147107d40b9
15411866326
hex26e48fef3

10440212211 has 48 divisors (see below), whose sum is σ = 17729187840. Its totient is φ = 5836570560.

The previous prime is 10440212203. The next prime is 10440212317. The reversal of 10440212211 is 11221204401.

10440212211 is a `hidden beast` number, since 1 + 0 + 440 + 2 + 1 + 221 + 1 = 666.

It is not a de Polignac number, because 10440212211 - 23 = 10440212203 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10440212201) 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, 3456660 + ... + 3459678.

It is an arithmetic number, because the mean of its divisors is an integer number (369358080).

Almost surely, 210440212211 is an apocalyptic number.

10440212211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10440212211 is a deficient number, since it is larger than the sum of its proper divisors (7288975629).

10440212211 is a wasteful number, since it uses less digits than its factorization.

10440212211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5736 (or 5733 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10440212211 its reverse (11221204401), we get a palindrome (21661416612).

The spelling of 10440212211 in words is "ten billion, four hundred forty million, two hundred twelve thousand, two hundred eleven".

Divisors: 1 3 9 11 13 33 39 99 117 143 429 1287 2687 3019 8061 9057 24183 27171 29557 33209 34931 39247 88671 99627 104793 117741 266013 298881 314379 353223 384241 431717 1152723 1295151 3458169 3885453 8112053 24336159 73008477 89232583 105456689 267697749 316370067 803093247 949110201 1160023579 3480070737 10440212211