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11112002111112 = 2337230730778441
BaseRepresentation
bin1010000110110011011011…
…1100000100011010001000
31110100022000112101102210220
42201230312330010122020
52424024340020023422
635344441105310040
72224546525340400
oct241546674043210
943308015342726
1011112002111112
1135a4634558801
1212b56b7035320
13627b1b657196
142a5b76603800
151440ae42ee5c
hexa1b36f04688

11112002111112 has 96 divisors (see below), whose sum is σ = 32420779665120. Its totient is φ = 3164516087040.

The previous prime is 11112002110997. The next prime is 11112002111113. The reversal of 11112002111112 is 21111120021111.

It is a junction number, because it is equal to n+sod(n) for n = 11112002111091 and 11112002111100.

It is not an unprimeable number, because it can be changed into a prime (11112002111113) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 15028189 + ... + 15750252.

It is an arithmetic number, because the mean of its divisors is an integer number (337716454845).

Almost surely, 211112002111112 is an apocalyptic number.

11112002111112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11112002111112 is an abundant number, since it is smaller than the sum of its proper divisors (21308777554008).

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

11112002111112 is a wasteful number, since it uses less digits than its factorization.

11112002111112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30778771 (or 30778760 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 11112002111112 its reverse (21111120021111), we get a palindrome (32223122132223).

The spelling of 11112002111112 in words is "eleven trillion, one hundred twelve billion, two million, one hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 307 392 588 614 921 1176 1228 1842 2149 2456 3684 4298 6447 7368 8596 12894 15043 17192 25788 30086 45129 51576 60172 90258 120344 180516 361032 30778441 61556882 92335323 123113764 184670646 215449087 246227528 369341292 430898174 646347261 738682584 861796348 1292694522 1508143609 1723592696 2585389044 3016287218 4524430827 5170778088 6032574436 9048861654 9448981387 12065148872 18097723308 18897962774 28346944161 36195446616 37795925548 56693888322 66142869709 75591851096 113387776644 132285739418 198428609127 226775553288 264571478836 396857218254 463000087963 529142957672 793714436508 926000175926 1389000263889 1587428873016 1852000351852 2778000527778 3704000703704 5556001055556 11112002111112