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2111231011312 = 2419193317113513
BaseRepresentation
bin11110101110001111001…
…011001010100111110000
321110211110022121200101201
4132232033023022213300
5234042300114330222
64253515223340544
7305350162333543
oct36561713124760
97424408550351
102111231011312
11744405958a15
122a1206bb1754
1312411bac2b27
147428135685a
1539db81d9427
hex1eb8f2ca9f0

2111231011312 has 80 divisors (see below), whose sum is σ = 4341801526560. Its totient is φ = 991728009216.

The previous prime is 2111231011271. The next prime is 2111231011321. The reversal of 2111231011312 is 2131101321112.

It is a super-2 number, since 2×21112310113122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 2111231011312.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 18542268 + ... + 18655780.

It is an arithmetic number, because the mean of its divisors is an integer number (54272519082).

Almost surely, 22111231011312 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 2111231011312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2170900763280).

2111231011312 is an abundant number, since it is smaller than the sum of its proper divisors (2230570515248).

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

2111231011312 is a wasteful number, since it uses less digits than its factorization.

2111231011312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114050 (or 114044 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 2111231011312 its reverse (2131101321112), we get a palindrome (4242332332424).

The spelling of 2111231011312 in words is "two trillion, one hundred eleven billion, two hundred thirty-one million, eleven thousand, three hundred twelve".

Divisors: 1 2 4 8 16 19 38 76 152 193 304 317 386 634 772 1268 1544 2536 3088 3667 5072 6023 7334 12046 14668 24092 29336 48184 58672 61181 96368 113513 122362 227026 244724 454052 489448 908104 978896 1162439 1816208 2156747 2324878 4313494 4649756 8626988 9299512 17253976 18599024 21908009 34507952 35983621 43816018 71967242 87632036 143934484 175264072 287868968 350528144 416252171 575737936 683688799 832504342 1367377598 1665008684 2734755196 3330017368 5469510392 6660034736 6944838853 10939020784 13889677706 27779355412 55558710824 111117421648 131951938207 263903876414 527807752828 1055615505656 2111231011312