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11112100310112 = 253417139763327
BaseRepresentation
bin1010000110110011110011…
…0010101010110001100000
31110100022021101011110111220
42201230330302222301200
52424030040134410422
635344454534135040
72224552130122014
oct241547462526140
943308241143456
1011112100310112
1135a4684a2a0aa
1212b5723ab1480
13627b35ab9cb9
142a5b85686544
151440b7d7ae5c
hexa1b3ccaac60

11112100310112 has 96 divisors (see below), whose sum is σ = 30301564575744. Its totient is φ = 3562794009600.

The previous prime is 11112100310111. The next prime is 11112100310119. The reversal of 11112100310112 is 21101300121111.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 11112100310091 and 11112100310100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11112100310111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19602208 + ... + 20161119.

It is an arithmetic number, because the mean of its divisors is an integer number (315641297664).

Almost surely, 211112100310112 is an apocalyptic number.

11112100310112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11112100310112 is an abundant number, since it is smaller than the sum of its proper divisors (19189464265632).

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

11112100310112 is a wasteful number, since it uses less digits than its factorization.

11112100310112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39763452 (or 39763444 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 15.

Adding to 11112100310112 its reverse (21101300121111), we get a palindrome (32213400431223).

The spelling of 11112100310112 in words is "eleven trillion, one hundred twelve billion, one hundred million, three hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 71 82 96 123 142 164 213 246 284 328 426 492 568 656 852 984 1136 1312 1704 1968 2272 2911 3408 3936 5822 6816 8733 11644 17466 23288 34932 46576 69864 93152 139728 279456 39763327 79526654 119289981 159053308 238579962 318106616 477159924 636213232 954319848 1272426464 1630296407 1908639696 2823196217 3260592814 3817279392 4890889221 5646392434 6521185628 8469588651 9781778442 11292784868 13042371256 16939177302 19563556884 22585569736 26084742512 33878354604 39127113768 45171139472 52169485024 67756709208 78254227536 90342278944 115751044897 135513418416 156508455072 231502089794 271026836832 347253134691 463004179588 694506269382 926008359176 1389012538764 1852016718352 2778025077528 3704033436704 5556050155056 11112100310112