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11000002112112 = 24313143891225117
BaseRepresentation
bin1010000000010010001100…
…1101111110101001110000
31102221120221001121222120210
42200010203031332221300
52420211001020041422
635221155312504120
72213503210141146
oct240044315765160
942846831558523
1011000002112112
113561090471862
121297a5a54b040
1361a3ac9b3520
142a058d965596
1514120697510c
hexa012337ea70

11000002112112 has 80 divisors (see below), whose sum is σ = 30604721762720. Its totient is φ = 3384378049536.

The previous prime is 11000002112087. The next prime is 11000002112149. The reversal of 11000002112112 is 21121120000011.

It is a super-2 number, since 2×110000021121122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 8366178 + ... + 9591294.

It is an arithmetic number, because the mean of its divisors is an integer number (382559022034).

Almost surely, 211000002112112 is an apocalyptic number.

11000002112112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11000002112112 is an abundant number, since it is smaller than the sum of its proper divisors (19604719650608).

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

11000002112112 is a wasteful number, since it uses less digits than its factorization.

11000002112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239530 (or 1239524 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11000002112112 its reverse (21121120000011), we get a palindrome (32121122112123).

The spelling of 11000002112112 in words is "eleven trillion, two million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 14389 28778 43167 57556 86334 115112 172668 187057 230224 345336 374114 561171 690672 748228 1122342 1225117 1496456 2244684 2450234 2992912 3675351 4489368 4900468 7350702 8978736 9800936 14701404 15926521 19601872 29402808 31853042 47779563 58805616 63706084 95559126 127412168 191118252 254824336 382236504 764473008 17628208513 35256417026 52884625539 70512834052 105769251078 141025668104 211538502156 229166710669 282051336208 423077004312 458333421338 687500132007 846154008624 916666842676 1375000264014 1833333685352 2750000528028 3666667370704 5500001056056 11000002112112