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1110100068 = 22327111723557
BaseRepresentation
bin100001000101010…
…1100100001100100
32212100211221000100
41002022230201210
54233141200233
6302053144100
736336460230
oct10212544144
92770757010
101110100068
1151a693680
1226b92b030
13148ca8c5c
14a760b5c0
15676cd813
hex422ac864

1110100068 has 144 divisors (see below), whose sum is σ = 3704448384. Its totient is φ = 271365120.

The previous prime is 1110100067. The next prime is 1110100087. The reversal of 1110100068 is 8600010111.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 1110100068.

It is not an unprimeable number, because it can be changed into a prime (1110100067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35346 + ... + 58902.

It is an arithmetic number, because the mean of its divisors is an integer number (25725336).

Almost surely, 21110100068 is an apocalyptic number.

1110100068 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1110100068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1852224192).

1110100068 is an abundant number, since it is smaller than the sum of its proper divisors (2594348316).

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

1110100068 is a wasteful number, since it uses less digits than its factorization.

1110100068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23602 (or 23597 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

The square root of 1110100068 is about 33318.1642351436. The cubic root of 1110100068 is about 1035.4299187140.

Adding to 1110100068 its reverse (8600010111), we get a palindrome (9710110179).

The spelling of 1110100068 in words is "one billion, one hundred ten million, one hundred thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 17 18 21 22 28 33 34 36 42 44 51 63 66 68 77 84 99 102 119 126 132 153 154 187 198 204 231 238 252 306 308 357 374 396 462 476 561 612 693 714 748 924 1071 1122 1309 1386 1428 1683 2142 2244 2618 2772 3366 3927 4284 5236 6732 7854 11781 15708 23557 23562 47114 47124 70671 94228 141342 164899 212013 259127 282684 329798 400469 424026 494697 518254 659596 777381 800938 848052 989394 1036508 1201407 1484091 1554762 1601876 1813889 1978788 2332143 2402814 2803283 2968182 3109524 3604221 3627778 4405159 4664286 4805628 5441667 5606566 5936364 7208442 7255556 8409849 8810318 9328572 10883334 11213132 13215477 14416884 16325001 16819698 17620636 21766668 25229547 26430954 30836113 32650002 33639396 39646431 50459094 52861908 61672226 65300004 79292862 92508339 100918188 123344452 158585724 185016678 277525017 370033356 555050034 1110100068