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2233313333112 = 23317137149268153
BaseRepresentation
bin100000011111111011110…
…110010000111101111000
321220111120110001012101210
4200133323312100331320
5243042311203124422
64425545303243120
7320231405054151
oct40377366207570
97814513035353
102233313333112
11791163177244
123009b81494a0
131327a6518674
147a143066928
153d160db410c
hex207fbd90f78

2233313333112 has 128 divisors (see below), whose sum is σ = 5994850824000. Its totient is φ = 690862522368.

The previous prime is 2233313333087. The next prime is 2233313333113. The reversal of 2233313333112 is 2113333133322.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2233313333112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2233313333113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8194428 + ... + 8462580.

Almost surely, 22233313333112 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 2233313333112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2997425412000).

2233313333112 is an abundant number, since it is smaller than the sum of its proper divisors (3761537490888).

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

2233313333112 is a wasteful number, since it uses less digits than its factorization.

2233313333112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268465 (or 268461 counting only the distinct ones).

The product of its digits is 17496, while the sum is 30.

Adding to 2233313333112 its reverse (2113333133322), we get a palindrome (4346646466434).

The spelling of 2233313333112 in words is "two trillion, two hundred thirty-three billion, three hundred thirteen million, three hundred thirty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 137 149 204 274 298 408 411 447 548 596 822 894 1096 1192 1644 1788 2329 2533 3288 3576 4658 5066 6987 7599 9316 10132 13974 15198 18632 20264 20413 27948 30396 40826 55896 60792 61239 81652 122478 163304 244956 268153 347021 489912 536306 694042 804459 1041063 1072612 1388084 1608918 2082126 2145224 2776168 3217836 4164252 4558601 6435672 8328504 9117202 13675803 18234404 27351606 36468808 36736961 39954797 54703212 73473922 79909594 109406424 110210883 119864391 146947844 159819188 220421766 239728782 293895688 319638376 440843532 479457564 624528337 679231549 881687064 958915128 1249056674 1358463098 1873585011 2037694647 2498113348 2716926196 3747170022 4075389294 4996226696 5433852392 5473807189 7494340044 8150778588 10947614378 14988680088 16301557176 16421421567 21895228756 32842843134 43790457512 65685686268 93054722213 131371372536 186109444426 279164166639 372218888852 558328333278 744437777704 1116656666556 2233313333112