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111312111301212 = 2231941116771019747
BaseRepresentation
bin11001010011110011011110…
…110110100111001001011100
3112121010100000102110002020210
4121103303132312213021130
5104042214200443114322
61032424024502412420
732306014612536303
oct3123633666471134
9477110012402223
10111312111301212
1132516223a24228
1210599048a31110
134a158c15ccb03
141d6b76bbdb43a
15cd073ba4170c
hex653cdeda725c

111312111301212 has 96 divisors (see below), whose sum is σ = 280090675226880. Its totient is φ = 34290876372480.

The previous prime is 111312111301189. The next prime is 111312111301243. The reversal of 111312111301212 is 212103111213111.

It is a super-2 number, since 2×1113121113012122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 108646723 + ... + 109666469.

It is an arithmetic number, because the mean of its divisors is an integer number (2917611200280).

Almost surely, 2111312111301212 is an apocalyptic number.

111312111301212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111312111301212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140045337613440).

111312111301212 is an abundant number, since it is smaller than the sum of its proper divisors (168778563925668).

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

111312111301212 is a wasteful number, since it uses less digits than its factorization.

111312111301212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031491 (or 1031489 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 21.

Adding to 111312111301212 its reverse (212103111213111), we get a palindrome (323415222514323).

The spelling of 111312111301212 in words is "one hundred eleven trillion, three hundred twelve billion, one hundred eleven million, three hundred one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 19 38 41 57 76 82 114 123 164 228 246 492 779 1558 2337 3116 4674 9348 11677 23354 35031 46708 70062 140124 221863 443726 478757 665589 887452 957514 1019747 1331178 1436271 1915028 2039494 2662356 2872542 3059241 4078988 5745084 6118482 9096383 12236964 18192766 19375193 27289149 36385532 38750386 41809627 54578298 58125579 77500772 83619254 109156596 116251158 125428881 167238508 232502316 250857762 501715524 794382913 1588765826 2383148739 3177531652 4766297478 9532594956 11907585719 23815171438 35722757157 47630342876 71445514314 142891028628 226244128661 452488257322 488211014479 678732385983 904976514644 976422028958 1357464771966 1464633043437 1952844057916 2714929543932 2929266086874 5858532173748 9276009275101 18552018550202 27828027825303 37104037100404 55656055650606 111312111301212