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20112121121022 = 2327601683388859
BaseRepresentation
bin1001001001010101101111…
…10101011100100011111110
32122012200220022010121001200
410210222313311130203332
510114004111001333042
6110435214134520330
74144024052564430
oct444526765344376
978180808117050
1020112121121022
116454559061827
122309a448060a6
13b2b746085228
144d7609028650
1524d2682b8c4c
hex124ab7d5c8fe

20112121121022 has 96 divisors (see below), whose sum is σ = 49957472597760. Its totient is φ = 5728344969600.

The previous prime is 20112121121009. The next prime is 20112121121023. The reversal of 20112121121022 is 22012112121102.

20112121121022 is a `hidden beast` number, since 201 + 1 + 21 + 211 + 210 + 22 = 666.

It is a super-3 number, since 3×201121211210223 (a number of 41 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 20112121120986 and 20112121121004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20112121121023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51526429 + ... + 51915287.

It is an arithmetic number, because the mean of its divisors is an integer number (520390339560).

Almost surely, 220112121121022 is an apocalyptic number.

20112121121022 is an abundant number, since it is smaller than the sum of its proper divisors (29845351476738).

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

20112121121022 is a wasteful number, since it uses less digits than its factorization.

20112121121022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390158 (or 390155 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 20112121121022 its reverse (22012112121102), we get a palindrome (42124233242124).

The spelling of 20112121121022 in words is "twenty trillion, one hundred twelve billion, one hundred twenty-one million, one hundred twenty-one thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 601 683 1202 1366 1803 2049 3606 4098 4207 4781 5409 6147 8414 9562 10818 12294 12621 14343 25242 28686 37863 43029 75726 86058 388859 410483 777718 820966 1166577 1231449 2333154 2462898 2722013 2873381 3499731 3694347 5444026 5746762 6999462 7388694 8166039 8620143 16332078 17240286 24498117 25860429 48996234 51720858 233704259 265590697 467408518 531181394 701112777 796772091 1402225554 1593544182 1635929813 1859134879 2103338331 2390316273 3271859626 3718269758 4206676662 4780632546 4907789439 5577404637 9815578878 11154809274 14723368317 16732213911 29446736634 33464427822 159620008897 319240017794 478860026691 957720053382 1117340062279 1436580080073 2234680124558 2873160160146 3352020186837 6704040373674 10056060560511 20112121121022