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2110220221120 = 265115211150661
BaseRepresentation
bin11110101101010010111…
…011010011101011000000
321110201211212122012220221
4132231102323103223000
5234033212334033440
64253231034512424
7305313136632424
oct36552273235300
97421755565827
102110220221120
11743a37335320
122a0b84595714
13123cba57851b
14741c6ddab84
1539d595c5d4a
hex1eb52ed3ac0

2110220221120 has 112 divisors (see below), whose sum is σ = 5492303037216. Its totient is φ = 765879296000.

The previous prime is 2110220221117. The next prime is 2110220221129. The reversal of 2110220221120 is 211220220112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2110220221094 and 2110220221103.

It is not an unprimeable number, because it can be changed into a prime (2110220221129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1258590 + ... + 2409250.

Almost surely, 22110220221120 is an apocalyptic number.

2110220221120 is a gapful number since it is divisible by the number (20) 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 2110220221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2746151518608).

2110220221120 is an abundant number, since it is smaller than the sum of its proper divisors (3382082816096).

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

2110220221120 is a wasteful number, since it uses less digits than its factorization.

2110220221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151210 (or 1151200 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2110220221120 its reverse (211220220112), we get a palindrome (2321440441232).

The spelling of 2110220221120 in words is "two trillion, one hundred ten billion, two hundred twenty million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 521 704 880 1042 1760 2084 2605 3520 4168 5210 5731 8336 10420 11462 16672 20840 22924 28655 33344 41680 45848 57310 83360 91696 114620 166720 183392 229240 366784 458480 916960 1150661 1833920 2301322 4602644 5753305 9205288 11506610 12657271 18410576 23013220 25314542 36821152 46026440 50629084 63286355 73642304 92052880 101258168 126572710 184105760 202516336 253145420 368211520 405032672 506290840 599494381 810065344 1012581680 1198988762 2025163360 2397977524 2997471905 4050326720 4795955048 5994943810 6594438191 9591910096 11989887620 13188876382 19183820192 23979775240 26377752764 32972190955 38367640384 47959550480 52755505528 65944381910 95919100960 105511011056 131888763820 191838201920 211022022112 263777527640 422044044224 527555055280 1055110110560 2110220221120