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20220122020212 = 2235311574274213
BaseRepresentation
bin1001001100011110111010…
…01100001011100101110100
32122121000200001212201200000
410212033131030023211310
510122241302214121322
6111000555032551300
74154566321226562
oct446173514134564
978530601781600
1020220122020212
11649633a819904
122326965b52530
13b3899836113a
144dc932908a32
15250e89b2a3ac
hex1263dd30b974

20220122020212 has 144 divisors (see below), whose sum is σ = 55063365407232. Its totient is φ = 6481073139840.

The previous prime is 20220122020201. The next prime is 20220122020213. The reversal of 20220122020212 is 21202022102202.

20220122020212 is a `hidden beast` number, since 20 + 220 + 1 + 220 + 202 + 1 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20220122020213) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2593618 + ... + 6867830.

Almost surely, 220220122020212 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 20220122020212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27531682703616).

20220122020212 is an abundant number, since it is smaller than the sum of its proper divisors (34843243387020).

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

20220122020212 is a wasteful number, since it uses less digits than its factorization.

20220122020212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4274420 (or 4274406 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 20220122020212 its reverse (21202022102202), we get a palindrome (41422144122414).

The spelling of 20220122020212 in words is "twenty trillion, two hundred twenty billion, one hundred twenty-two million, twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 157 162 186 243 279 314 324 372 471 486 558 628 837 942 972 1116 1413 1674 1884 2511 2826 3348 4239 4867 5022 5652 7533 8478 9734 10044 12717 14601 15066 16956 19468 25434 29202 30132 38151 43803 50868 58404 76302 87606 131409 152604 175212 262818 394227 525636 788454 1182681 1576908 2365362 4274213 4730724 8548426 12822639 17096852 25645278 38467917 51290556 76935834 115403751 132500603 153871668 230807502 265001206 346211253 397501809 461615004 530002412 671051441 692422506 795003618 1038633759 1192505427 1342102882 1384845012 1590007236 2013154323 2077267518 2385010854 2684205764 3577516281 4026308646 4154535036 4770021708 6039462969 7155032562 8052617292 10732548843 12078925938 14310065124 18118388907 20802594671 21465097686 24157851876 32197646529 36236777814 41605189342 42930195372 54355166721 62407784013 64395293058 72473555628 83210378684 108710333442 124815568026 128790586116 163065500163 187223352039 217420666884 249631136052 326131000326 374446704078 561670056117 652262000652 748893408156 1123340112234 1685010168351 2246680224468 3370020336702 5055030505053 6740040673404 10110061010106 20220122020212