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20110000113 = 3372361181419
BaseRepresentation
bin10010101110101001…
…100011111111110001
31220220111111212001000
4102232221203333301
5312141130000423
613123255032213
71311226115640
oct225651437761
956814455030
1020110000113
11858a630805
123a9296b669
131b86410068
14d8ab5b357
157ca748843
hex4aea63ff1

20110000113 has 128 divisors (see below), whose sum is σ = 36397670400. Its totient is φ = 10726214400.

The previous prime is 20110000109. The next prime is 20110000117. The reversal of 20110000113 is 31100001102.

It is an interprime number because it is at equal distance from previous prime (20110000109) and next prime (20110000117).

It is not a de Polignac number, because 20110000113 - 22 = 20110000109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 20110000095 and 20110000104.

It is not an unprimeable number, because it can be changed into a prime (20110000117) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 47995018 + ... + 47995436.

It is an arithmetic number, because the mean of its divisors is an integer number (284356800).

Almost surely, 220110000113 is an apocalyptic number.

20110000113 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

20110000113 is a deficient number, since it is larger than the sum of its proper divisors (16287670287).

20110000113 is a wasteful number, since it uses less digits than its factorization.

20110000113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 20110000113 its reverse (31100001102), we get a palindrome (51210001215).

The spelling of 20110000113 in words is "twenty billion, one hundred ten million, one hundred thirteen", and thus it is an aban number.

Divisors: 1 3 7 9 21 23 27 61 63 69 161 181 183 189 207 419 427 483 543 549 621 1257 1267 1281 1403 1449 1629 1647 2933 3771 3801 3843 4163 4209 4347 4887 8799 9637 9821 11041 11313 11403 11529 12489 12627 25559 26397 28911 29141 29463 33123 34209 37467 37881 67459 75839 76677 77287 79191 86733 87423 88389 99369 112401 178913 202377 227517 230031 231861 253943 260199 262269 265167 298107 530873 536739 587857 607131 682551 690093 695583 761829 786807 1592619 1610217 1744297 1763571 1777601 1821393 2047653 2086749 2285487 4114999 4626179 4777857 4830651 5232891 5290713 5332803 6856461 12210079 12344997 13878537 14333571 15698673 15872139 15998409 32383253 36630237 37034991 41635611 47096019 47995227 97149759 106402117 109890711 111104973 124906833 291449277 319206351 329672133 744814819 874347831 957619053 2234444457 2872857159 6703333371 20110000113