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11112222221111 = 1141731372719091
BaseRepresentation
bin1010000110110100010000…
…0011101110001100110111
31110100022120212120011222002
42201231010003232030313
52424030312342033421
635344515011125515
72224555140262454
oct241550403561467
943308525504862
1011112222221111
1135a47378266a0
1212b57588a389b
13627b5513299b
142a5b9793c82b
151440c390cb0b
hexa1b440ee337

11112222221111 has 64 divisors (see below), whose sum is σ = 12728278628352. Its totient is φ = 9613002240000.

The previous prime is 11112222221053. The next prime is 11112222221117.

It is a happy number.

11112222221111 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 11112222221111 - 26 = 11112222221047 is a prime.

It is a Duffinian number.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11112222221117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1222327676 + ... + 1222336766.

It is an arithmetic number, because the mean of its divisors is an integer number (198879353568).

Almost surely, 211112222221111 is an apocalyptic number.

11112222221111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11112222221111 is a deficient number, since it is larger than the sum of its proper divisors (1616056407241).

11112222221111 is a wasteful number, since it uses less digits than its factorization.

11112222221111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9624.

The product of its digits is 64, while the sum is 20.

It can be divided in two parts, 1111222 and 2221111, that added together give a palindrome (3332333).

The spelling of 11112222221111 in words is "eleven trillion, one hundred twelve billion, two hundred twenty-two million, two hundred twenty-one thousand, one hundred eleven".

Divisors: 1 11 41 73 137 271 451 803 1507 2981 2993 5617 9091 10001 11111 19783 32923 37127 61787 100001 110011 122221 217613 372731 408397 410041 663643 811103 1245467 1522207 2463661 2710271 4100041 4510451 7300073 8922133 13700137 16744277 27100271 27209363 29812981 51064147 90919091 101010101 111121111 179847253 299302993 337521557 561705617 1000110001 1111111111 1222332221 1978319783 3712737127 3727682731 7373737373 13838383837 24639073661 41004510041 81111111103 152222222207 271029810271 1010202020101 11112222221111