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2211103323312 = 2431310144978137
BaseRepresentation
bin100000001011010000000…
…001110011010010110000
321211101020120222210122020
4200023100001303102300
5242211314422321222
64411433345511440
7315514126101042
oct40132001632260
97741216883566
102211103323312
117827a6201144
122b863a042580
13130677016230
1479037459a92
153c7b110065c
hex202d00734b0

2211103323312 has 160 divisors (see below), whose sum is σ = 6226223371200. Its totient is φ = 672094617600.

The previous prime is 2211103323301. The next prime is 2211103323329. The reversal of 2211103323312 is 2133233011122.

It is a super-2 number, since 2×22111033233122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 28258708 + ... + 28336844.

It is an arithmetic number, because the mean of its divisors is an integer number (38913896070).

Almost surely, 22211103323312 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 2211103323312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3113111685600).

2211103323312 is an abundant number, since it is smaller than the sum of its proper divisors (4015120047888).

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

2211103323312 is a wasteful number, since it uses less digits than its factorization.

2211103323312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78711 (or 78705 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 2211103323312 its reverse (2133233011122), we get a palindrome (4344336334434).

The spelling of 2211103323312 in words is "two trillion, two hundred eleven billion, one hundred three million, three hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 101 104 156 202 208 303 312 404 449 606 624 808 898 1212 1313 1347 1616 1796 2424 2626 2694 3592 3939 4848 5252 5388 5837 7184 7878 10504 10776 11674 15756 17511 21008 21552 23348 31512 35022 45349 46696 63024 70044 78137 90698 93392 136047 140088 156274 181396 234411 272094 280176 312548 362792 468822 544188 589537 625096 725584 937644 1015781 1088376 1179074 1250192 1768611 1875288 2031562 2176752 2358148 3047343 3537222 3750576 4063124 4716296 6094686 7074444 7891837 8126248 9432592 12189372 14148888 15783674 16252496 23675511 24378744 28297776 31567348 35083513 47351022 48757488 63134696 70167026 94702044 102593881 105250539 126269392 140334052 189404088 205187762 210501078 280668104 307781643 378808176 410375524 421002156 456085669 561336208 615563286 820751048 842004312 912171338 1231126572 1368257007 1641502096 1684008624 1824342676 2462253144 2736514014 3543434813 3648685352 4924506288 5473028028 7086869626 7297370704 10630304439 10946056056 14173739252 21260608878 21892112112 28347478504 42521217756 46064652569 56694957008 85042435512 92129305138 138193957707 170084871024 184258610276 276387915414 368517220552 552775830828 737034441104 1105551661656 2211103323312