Search a number
-
+
20012222012112 = 2433116316674051
BaseRepresentation
bin1001000110011011101010…
…11000100101101011010000
32121212011001011100001101000
410203031311120211223100
510110340012313341422
6110321253214142000
74133556342302151
oct443156530455320
977764034301330
1020012222012112
1164161546766a0
1222b26047b1900
13b221b543ba75
144d284d54b928
1524a86cd5ccac
hex123375625ad0

20012222012112 has 160 divisors (see below), whose sum is σ = 62763852856320. Its totient is φ = 6054698160000.

The previous prime is 20012222012071. The next prime is 20012222012177. The reversal of 20012222012112 is 21121022221002.

It is a happy number.

20012222012112 is a `hidden beast` number, since 200 + 122 + 220 + 12 + 112 = 666.

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

It is a congruent number.

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, 338514 + ... + 6335537.

It is an arithmetic number, because the mean of its divisors is an integer number (392274080352).

Almost surely, 220012222012112 is an apocalyptic number.

20012222012112 is a gapful number since it is divisible by the number (22) 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 20012222012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31381926428160).

20012222012112 is an abundant number, since it is smaller than the sum of its proper divisors (42751630844208).

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

20012222012112 is a wasteful number, since it uses less digits than its factorization.

20012222012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6674710 (or 6674698 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 20012222012112 its reverse (21121022221002), we get a palindrome (41133244233114).

The spelling of 20012222012112 in words is "twenty trillion, twelve billion, two hundred twenty-two million, twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 631 792 1188 1262 1584 1893 2376 2524 3786 4752 5048 5679 6941 7572 10096 11358 13882 15144 17037 20823 22716 27764 30288 34074 41646 45432 55528 62469 68148 83292 90864 111056 124938 136296 166584 187407 249876 272592 333168 374814 499752 749628 999504 1499256 2998512 6674051 13348102 20022153 26696204 40044306 53392408 60066459 73414561 80088612 106784816 120132918 146829122 160177224 180199377 220243683 240265836 293658244 320354448 360398754 440487366 480531672 587316488 660731049 720797508 880974732 961063344 1174632976 1321462098 1441595016 1761949464 1982193147 2642924196 2883190032 3523898928 3964386294 4211326181 5285848392 7928772588 8422652362 10571696784 12633978543 15857545176 16845304724 25267957086 31715090352 33690609448 37901935629 46324587991 50535914172 67381218896 75803871258 92649175982 101071828344 113705806887 138973763973 151607742516 185298351964 202143656688 227411613774 277947527946 303215485032 370596703928 416921291919 454823227548 555895055892 606430970064 741193407856 833842583838 909646455096 1111790111784 1250763875757 1667685167676 1819292910192 2223580223568 2501527751514 3335370335352 5003055503028 6670740670704 10006111006056 20012222012112