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2110000112000 = 27531111988637
BaseRepresentation
bin11110101101000101110…
…011101010000110000000
321110201021112110111222022
4132231011303222012000
5234032240012041000
64253153133101012
7305304525013034
oct36550563520600
97421245414868
102110000112000
11743934068060
122a0b22927768
13123c83aa0241
14741a5aa21c4
1539d450e8585
hex1eb45cea180

2110000112000 has 128 divisors (see below), whose sum is σ = 5722896235680. Its totient is φ = 767272704000.

The previous prime is 2110000111997. The next prime is 2110000112023. The reversal of 2110000112000 is 2110000112.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (8).

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, 5818319 + ... + 6170318.

Almost surely, 22110000112000 is an apocalyptic number.

2110000112000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2110000112000 is an abundant number, since it is smaller than the sum of its proper divisors (3612896123680).

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

2110000112000 is a wasteful number, since it uses less digits than its factorization.

2110000112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11988677 (or 11988655 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 2110000112000 its reverse (2110000112), we get a palindrome (2112110112112).

2110000112000 divided by its reverse (2110000112) gives a cube (1000 = 103).

The spelling of 2110000112000 in words is "two trillion, one hundred ten billion, one hundred twelve thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 128 160 176 200 220 250 275 320 352 400 440 500 550 640 704 800 880 1000 1100 1375 1408 1600 1760 2000 2200 2750 3200 3520 4000 4400 5500 7040 8000 8800 11000 16000 17600 22000 35200 44000 88000 176000 11988637 23977274 47954548 59943185 95909096 119886370 131875007 191818192 239772740 263750014 299715925 383636384 479545480 527500028 599431850 659375035 767272768 959090960 1055000056 1198863700 1318750070 1498579625 1534545536 1918181920 2110000112 2397727400 2637500140 2997159250 3296875175 3836363840 4220000224 4795454800 5275000280 5994318500 6593750350 7672727680 8440000448 9590909600 10550000560 11988637000 13187500700 16484375875 16880000896 19181819200 21100001120 23977274000 26375001400 32968751750 38363638400 42200002240 47954548000 52750002800 65937503500 84400004480 95909096000 105500005600 131875007000 191818192000 211000011200 263750014000 422000022400 527500028000 1055000056000 2110000112000