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112111012220022 = 2323110717509107243
BaseRepresentation
bin11001011111011011100001…
…000011110000110001110110
3112200221201010012110201021200
4121133123201003300301312
5104143311323112020042
61034235031001553330
732420516252363064
oct3137334103606166
9480851105421250
10112111012220022
11327a4016740a62
12106a7a471a5846
134a7303b95aa8a
141d982b81c3034
15ce63e85cec4c
hex65f6e10f0c76

112111012220022 has 96 divisors (see below), whose sum is σ = 253103115432960. Its totient is φ = 35824473218880.

The previous prime is 112111012219807. The next prime is 112111012220071. The reversal of 112111012220022 is 220022210111211.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112111012219977 and 112111012220004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1045338733 + ... + 1045445975.

It is an arithmetic number, because the mean of its divisors is an integer number (2636490785760).

Almost surely, 2112111012220022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112111012220022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126551557716480).

112111012220022 is an abundant number, since it is smaller than the sum of its proper divisors (140992103212938).

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

112111012220022 is a wasteful number, since it uses less digits than its factorization.

112111012220022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124898 (or 124895 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 112111012220022 its reverse (220022210111211), we get a palindrome (332133222331233).

The spelling of 112111012220022 in words is "one hundred twelve trillion, one hundred eleven billion, twelve million, two hundred twenty thousand, twenty-two".

Divisors: 1 2 3 6 9 18 31 62 93 107 186 214 279 321 558 642 963 1926 3317 6634 9951 17509 19902 29853 35018 52527 59706 105054 107243 157581 214486 315162 321729 542779 643458 965187 1085558 1628337 1873463 1930374 3256674 3324533 3746926 4885011 5620389 6649066 9770022 9973599 11240778 11475001 16861167 19947198 22950002 29920797 33722334 34425003 58077353 59841594 68850006 103275009 116154706 174232059 206550018 348464118 355725031 522696177 711450062 1045392354 1067175093 1877717687 2134350186 3201525279 3755435374 5633153061 6403050558 11266306122 16899459183 33798918366 58209248297 116418496594 174627744891 200915792509 349255489782 401831585018 523883234673 602747377527 1047766469346 1205494755054 1808242132581 3616484265162 6228389567779 12456779135558 18685168703337 37370337406674 56055506110011 112111012220022