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2112022211120 = 245251548319183
BaseRepresentation
bin11110101110111110010…
…101010110101000110000
321110220111110101210111022
4132232332111112220300
5234100410141223440
64254125525435012
7305405610405533
oct36567625265060
97426443353438
102112022211120
11744781529058
122a13a7b6ba68
131242169b42b3
1474318470a1a
1539e128c3cb5
hex1ebbe556a30

2112022211120 has 80 divisors (see below), whose sum is σ = 4931171384832. Its totient is φ = 841245792000.

The previous prime is 2112022211099. The next prime is 2112022211251. The reversal of 2112022211120 is 211122202112.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110089049 + ... + 110108231.

Almost surely, 22112022211120 is an apocalyptic number.

2112022211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112022211120 is an abundant number, since it is smaller than the sum of its proper divisors (2819149173712).

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

2112022211120 is a wasteful number, since it uses less digits than its factorization.

2112022211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24930 (or 24924 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 2112022211120 its reverse (211122202112), we get a palindrome (2323144413232).

The spelling of 2112022211120 in words is "two trillion, one hundred twelve billion, twenty-two million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 251 502 1004 1255 2008 2510 4016 5020 5483 10040 10966 19183 20080 21932 27415 38366 43864 54830 76732 87728 95915 109660 153464 191830 219320 306928 383660 438640 767320 1376233 1534640 2752466 4814933 5504932 6881165 9629866 11009864 13762330 19259732 22019728 24074665 27524660 38519464 48149330 55049320 77038928 96298660 105180389 110098640 192597320 210360778 385194640 420721556 525901945 841443112 1051803890 1682886224 2103607780 4207215560 8414431120 26400277639 52800555278 105601110556 132001388195 211202221112 264002776390 422404442224 528005552780 1056011105560 2112022211120