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3022122210012 = 22328331312912503
BaseRepresentation
bin101011111110100100100…
…001010101001011011100
3101200220121220002222112200
4223332210201111023130
5344003301241210022
610232202131131500
7431225001640143
oct53764441251334
911626556088480
103022122210012
11a65747223574
1240985a743b90
1318bca5aa09b9
14a63b2daa75a
155392b962bac
hex2bfa48552dc

3022122210012 has 144 divisors (see below), whose sum is σ = 7765101996288. Its totient is φ = 990892880640.

The previous prime is 3022122210011. The next prime is 3022122210059. The reversal of 3022122210012 is 2100122212203.

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 (3022122210011) 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, 1207398753 + ... + 1207401255.

Almost surely, 23022122210012 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 3022122210012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3882550998144).

3022122210012 is an abundant number, since it is smaller than the sum of its proper divisors (4742979786276).

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

3022122210012 is a wasteful number, since it uses less digits than its factorization.

3022122210012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4200 (or 4195 counting only the distinct ones).

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

Adding to 3022122210012 its reverse (2100122212203), we get a palindrome (5122244422215).

The spelling of 3022122210012 in words is "three trillion, twenty-two billion, one hundred twenty-two million, two hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 83 166 249 313 332 498 626 747 939 996 1252 1291 1494 1878 2503 2582 2817 2988 3756 3873 5006 5164 5634 7509 7746 10012 11268 11619 15018 15492 22527 23238 25979 30036 45054 46476 51958 77937 90108 103916 107153 155874 207749 214306 233811 311748 321459 404083 415498 428612 467622 623247 642918 783439 808166 830996 935244 964377 1212249 1246494 1285836 1566878 1616332 1869741 1928754 2350317 2424498 2492988 3133756 3231373 3636747 3739482 3857508 4700634 4848996 6462746 7050951 7273494 7478964 9401268 9694119 12925492 14101902 14546988 19388238 28203804 29082357 33538889 38776476 58164714 65025437 67077778 100616667 116329428 130050874 134155556 195076311 201233334 260101748 268203959 301850001 390152622 402466668 536407918 585228933 603700002 780305244 804611877 1011419749 1072815836 1170457866 1207400004 1609223754 2022839498 2340915732 2413835631 3034259247 3218447508 4045678996 4827671262 6068518494 9102777741 9655342524 12137036988 18205555482 36411110964 83947839167 167895678334 251843517501 335791356668 503687035002 755530552503 1007374070004 1511061105006 3022122210012