Search a number
-
+
2112010101220 = 2251923676335731
BaseRepresentation
bin11110101110111101100…
…111001010000111100100
321110220110121121112211111
4132232331213022013210
5234100344041214340
64254124414114404
7305405402440645
oct36567547120744
97426417545744
102112010101220
11744775707778
122a13a3aaba04
13124214334286
14743169db6cc
1539e117d0aea
hex1ebbd9ca1e4

2112010101220 has 96 divisors (see below), whose sum is σ = 4872495559680. Its totient is φ = 765408631680.

The previous prime is 2112010101199. The next prime is 2112010101247. The reversal of 2112010101220 is 221010102112.

It is a self number, because there is not a number n which added to its sum of digits gives 2112010101220.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59090755 + ... + 59126485.

It is an arithmetic number, because the mean of its divisors is an integer number (50755162080).

Almost surely, 22112010101220 is an apocalyptic number.

2112010101220 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 2112010101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2436247779840).

2112010101220 is an abundant number, since it is smaller than the sum of its proper divisors (2760485458460).

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

2112010101220 is a wasteful number, since it uses less digits than its factorization.

2112010101220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42545 (or 42543 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2112010101220 its reverse (221010102112), we get a palindrome (2333020203332).

The spelling of 2112010101220 in words is "two trillion, one hundred twelve billion, ten million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 23 38 46 76 92 95 115 190 230 380 437 460 874 1748 2185 4370 6763 8740 13526 27052 33815 35731 67630 71462 128497 135260 142924 155549 178655 256994 311098 357310 513988 622196 642485 678889 714620 777745 821813 1284970 1357778 1555490 1643626 2569940 2715556 2955431 3110980 3287252 3394445 4109065 5910862 6788890 8218130 11821724 13577780 14777155 15614447 16436260 29554310 31228894 59108620 62457788 78072235 156144470 241648753 312288940 483297506 966595012 1208243765 2416487530 4591326307 4832975060 5557921319 9182652614 11115842638 18365305228 22231685276 22956631535 27789606595 45913263070 55579213190 91826526140 105600505061 111158426380 211201010122 422402020244 528002525305 1056005050610 2112010101220