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11111110000002 = 23219291207192809
BaseRepresentation
bin1010000110110000000111…
…0000111011110110000010
31110100012201100201111102200
42201230001300323312002
52424021023130000002
635344212400254030
72224515443456355
oct241540160736602
943305640644380
1011111110000002
1135a4216a244a1
1212b54a8311316
13627a0889349c
142a5acdd3c29c
1514405ae60b1c
hexa1b01c3bd82

11111110000002 has 96 divisors (see below), whose sum is σ = 26217414288000. Its totient is φ = 3387462301440.

The previous prime is 11111109999991. The next prime is 11111110000009. The reversal of 11111110000002 is 20000001111111.

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

It is not an unprimeable number, because it can be changed into a prime (11111110000009) 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 47 ways as a sum of consecutive naturals, for example, 119673774 + ... + 119766582.

It is an arithmetic number, because the mean of its divisors is an integer number (273098065500).

Almost surely, 211111110000002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11111110000002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13108707144000).

11111110000002 is an abundant number, since it is smaller than the sum of its proper divisors (15106304287998).

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

11111110000002 is a wasteful number, since it uses less digits than its factorization.

11111110000002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104936 (or 104933 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 11111110000002 its reverse (20000001111111), we get a palindrome (31111111111113).

The spelling of 11111110000002 in words is "eleven trillion, one hundred eleven billion, one hundred ten million, two", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 19 29 38 57 58 87 114 171 174 261 342 522 551 1102 1653 3306 4959 9918 12071 24142 36213 72426 92809 108639 185618 217278 229349 278427 350059 458698 556854 688047 700118 835281 1050177 1376094 1670562 1763371 2064141 2100354 2691461 3150531 3526742 4128282 5290113 5382922 6301062 6651121 8074383 10580226 13302242 15870339 16148766 19953363 24223149 31740678 39906726 48446298 51137759 59860089 102275518 119720178 153413277 306826554 460239831 920479662 1120297439 2240594878 3360892317 6721784634 10082676951 20165353902 21285651341 32488625731 42571302682 63856954023 64977251462 97465877193 127713908046 191570862069 194931754386 292397631579 383141724138 584795263158 617283888889 1234567777778 1851851666667 3703703333334 5555555000001 11111110000002