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1100001000112 = 24797167606299
BaseRepresentation
bin10000000000011101001…
…010110011101010110000
310220011021221221120121221
4100000131022303222300
5121010300224000422
62201200010554424
7142321023141220
oct20003512635260
93804257846557
101100001000112
11394564984433
12159230138a14
137c964068561
143b351688080
151d930aec3c7
hex1001d2b3ab0

1100001000112 has 80 divisors (see below), whose sum is σ = 2475566553600. Its totient is φ = 463774316544.

The previous prime is 1100001000031. The next prime is 1100001000113. The reversal of 1100001000112 is 2110001000011.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 1100001000095 and 1100001000104.

It is not an unprimeable number, because it can be changed into a prime (1100001000113) 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, 1511139 + ... + 2117437.

It is an arithmetic number, because the mean of its divisors is an integer number (30944581920).

Almost surely, 21100001000112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100001000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237783276800).

1100001000112 is an abundant number, since it is smaller than the sum of its proper divisors (1375565553488).

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

1100001000112 is a wasteful number, since it uses less digits than its factorization.

1100001000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606578 (or 606572 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 1100001000112 its reverse (2110001000011), we get a palindrome (3210002000123).

The spelling of 1100001000112 in words is "one trillion, one hundred billion, one million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 16 28 56 97 112 167 194 334 388 668 679 776 1169 1336 1358 1552 2338 2672 2716 4676 5432 9352 10864 16199 18704 32398 64796 113393 129592 226786 259184 453572 606299 907144 1212598 1814288 2425196 4244093 4850392 8488186 9700784 16976372 33952744 58811003 67905488 101251933 117622006 202503866 235244012 405007732 411677021 470488024 708763531 810015464 823354042 940976048 1417527062 1620030928 1646708084 2835054124 3293416168 5670108248 6586832336 9821437501 11340216496 19642875002 39285750004 68750062507 78571500008 137500125014 157143000016 275000250028 550000500056 1100001000112