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2112220020132 = 2234291373163729
BaseRepresentation
bin11110101111001010000…
…111111011110110100100
321110221000020121112110000
4132233022013323312210
5234101311311121012
64254201313301300
7305413531636305
oct36571207736644
97427006545400
102112220020132
11744873154982
122a1442264830
13124248982251
14743368427ac
1539e24e48ddc
hex1ebca1fbda4

2112220020132 has 120 divisors (see below), whose sum is σ = 5716361158200. Its totient is φ = 679295683584.

The previous prime is 2112220020011. The next prime is 2112220020133. The reversal of 2112220020132 is 2310200222112.

2112220020132 is a `hidden beast` number, since 211 + 2 + 220 + 0 + 201 + 32 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 983917189476 + 1128302830656 = 991926^2 + 1062216^2 .

It is a super-2 number, since 2×21122200201322 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2112220020133) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12818844 + ... + 12982572.

It is an arithmetic number, because the mean of its divisors is an integer number (47636342985).

Almost surely, 22112220020132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112220020132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2858180579100).

2112220020132 is an abundant number, since it is smaller than the sum of its proper divisors (3604141138068).

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

2112220020132 is a wasteful number, since it uses less digits than its factorization.

2112220020132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165147 (or 165136 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2112220020132 its reverse (2310200222112), we get a palindrome (4422420242244).

The spelling of 2112220020132 in words is "two trillion, one hundred twelve billion, two hundred twenty million, twenty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 261 324 348 522 783 1044 1373 1566 2349 2746 3132 4119 4698 5492 8238 9396 12357 16476 24714 37071 39817 49428 74142 79634 111213 119451 148284 159268 163729 222426 238902 327458 358353 444852 477804 491187 654916 716706 982374 1075059 1433412 1473561 1964748 2150118 2947122 3225177 4300236 4420683 4748141 5894244 6450354 8841366 9496282 12900708 13262049 14244423 17682732 18992564 26524098 28488846 42733269 53048196 56977692 85466538 128199807 170933076 224799917 256399614 384599421 449599834 512799228 674399751 769198842 899199668 1348799502 1538397684 2023199253 2697599004 4046398506 6069597759 6519197593 8092797012 12139195518 13038395186 18208793277 19557592779 24278391036 26076790372 36417586554 39115185558 58672778337 72835173108 78230371116 117345556674 176018335011 234691113348 352036670022 528055005033 704073340044 1056110010066 2112220020132