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110000110038 = 23713643313321
BaseRepresentation
bin110011001110010000…
…1000111100111010110
3101111221002121120022120
41212130201013213112
53300240012010123
6122311112040410
710642622336160
oct1463441074726
9344832546276
10110000110038
1142718215855
121939a993106
13a4b0538010
145477211930
152cdc11a2e3
hex199c8479d6

110000110038 has 64 divisors (see below), whose sum is σ = 271191470592. Its totient is φ = 28965807360.

The previous prime is 110000110037. The next prime is 110000110043. The reversal of 110000110038 is 830011000011.

It is a super-2 number, since 2×1100001100382 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110000109999 and 110000110026.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110000110037) 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 31 ways as a sum of consecutive naturals, for example, 194418 + ... + 507738.

It is an arithmetic number, because the mean of its divisors is an integer number (4237366728).

Almost surely, 2110000110038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110000110038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135595735296).

110000110038 is an abundant number, since it is smaller than the sum of its proper divisors (161191360554).

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

110000110038 is a wasteful number, since it uses less digits than its factorization.

110000110038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313989.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 110000110038 its reverse (830011000011), we get a palindrome (940011110049).

The spelling of 110000110038 in words is "one hundred ten billion, one hundred ten thousand, thirty-eight".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 546 643 1286 1929 3858 4501 8359 9002 13503 16718 25077 27006 50154 58513 117026 175539 313321 351078 626642 939963 1879926 2193247 4073173 4386494 6579741 8146346 12219519 13159482 24439038 28512211 57024422 85536633 171073266 201465403 402930806 604396209 1208792418 1410257821 2619050239 2820515642 4230773463 5238100478 7857150717 8461546926 15714301434 18333351673 36666703346 55000055019 110000110038