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2010210101120 = 27513253195461
BaseRepresentation
bin11101010000001001110…
…110111110011110000000
321010011200222221201122102
4131100021312332132000
5230413402241213440
64135251110525532
7265142610634514
oct35201166763600
97104628851572
102010210101120
11705586217991
122857133668a8
1311773c934720
146d41a8a4144
153745453cb15
hex1d409dbe780

2010210101120 has 128 divisors (see below), whose sum is σ = 5177423573280. Its totient is φ = 741930393600.

The previous prime is 2010210101113. The next prime is 2010210101143. The reversal of 2010210101120 is 211010120102.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21010190 + ... + 21105650.

Almost surely, 22010210101120 is an apocalyptic number.

2010210101120 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 2010210101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2588711786640).

2010210101120 is an abundant number, since it is smaller than the sum of its proper divisors (3167213472160).

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

2010210101120 is a wasteful number, since it uses less digits than its factorization.

2010210101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98024 (or 98012 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2010210101120 its reverse (211010120102), we get a palindrome (2221220221222).

The spelling of 2010210101120 in words is "two trillion, ten billion, two hundred ten million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 520 640 832 1040 1664 2080 2531 4160 5062 8320 10124 12655 20248 25310 32903 40496 50620 65806 80992 95461 101240 131612 161984 164515 190922 202480 263224 323968 329030 381844 404960 477305 526448 658060 763688 809920 954610 1052896 1240993 1316120 1527376 1619840 1909220 2105792 2481986 2632240 3054752 3818440 4211584 4963972 5264480 6109504 6204965 7636880 9927944 10528960 12219008 12409930 15273760 19855888 21057920 24819860 30547520 39711776 49639720 61095040 79423552 99279440 158847104 198558880 241611791 397117760 483223582 794235520 966447164 1208058955 1932894328 2416117910 3140953283 3865788656 4832235820 6281906566 7731577312 9664471640 12563813132 15463154624 15704766415 19328943280 25127626264 30926309248 31409532830 38657886560 50255252528 62819065660 77315773120 100510505056 125638131320 154631546240 201021010112 251276262640 402042020224 502552525280 1005105050560 2010210101120