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2112122502312 = 2331723832711771
BaseRepresentation
bin11110101111000100010…
…011111011110010101000
321110220202110010010010220
4132233010103323302220
5234101111330033222
64254143511210040
7305411236022634
oct36570423736250
97426673103126
102112122502312
117448230a9339
122a1415676920
131242316ca4b4
14743278d9dc4
1539e1b5d4b5c
hex1ebc44fbca8

2112122502312 has 128 divisors (see below), whose sum is σ = 5904286940160. Its totient is φ = 626180234240.

The previous prime is 2112122502311. The next prime is 2112122502337. The reversal of 2112122502312 is 2132052212112.

It is a super-2 number, since 2×21121225023122 (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 not an unprimeable number, because it can be changed into a prime (2112122502311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 577014 + ... + 2134757.

It is an arithmetic number, because the mean of its divisors is an integer number (46127241720).

Almost surely, 22112122502312 is an apocalyptic number.

It is an amenable number.

2112122502312 is an abundant number, since it is smaller than the sum of its proper divisors (3792164437848).

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

2112122502312 is a wasteful number, since it uses less digits than its factorization.

2112122502312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2711903 (or 2711899 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 2112122502312 its reverse (2132052212112), we get a palindrome (4244174714424).

The spelling of 2112122502312 in words is "two trillion, one hundred twelve billion, one hundred twenty-two million, five hundred two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 23 24 34 46 51 68 69 83 92 102 136 138 166 184 204 249 276 332 391 408 498 552 664 782 996 1173 1411 1564 1909 1992 2346 2822 3128 3818 4233 4692 5644 5727 7636 8466 9384 11288 11454 15272 16932 22908 32453 33864 45816 64906 97359 129812 194718 259624 389436 778872 2711771 5423542 8135313 10847084 16270626 21694168 32541252 46100107 62370733 65082504 92200214 124741466 138300321 184400428 187112199 225076993 249482932 276600642 368800856 374224398 450153986 498965864 553201284 675230979 748448796 900307972 1060302461 1106402568 1350461958 1496897592 1800615944 2120604922 2700923916 3180907383 3826308881 4241209844 5176770839 5401847832 6361814766 7652617762 8482419688 10353541678 11478926643 12723629532 15305235524 15530312517 20707083356 22957853286 25447259064 30610471048 31060625034 41414166712 45915706572 62121250068 88005104263 91831413144 124242500136 176010208526 264015312789 352020417052 528030625578 704040834104 1056061251156 2112122502312