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112111220210022 = 233116116318982141
BaseRepresentation
bin11001011111011011101101…
…011101001011100101100110
3112200221201122200211200221000
4121133123231131023211212
5104143312234333210042
61034235103351534130
732420524356305655
oct3137335535134546
9480851580750830
10112111220210022
11327a4113090a20
12106a7aa498a346
134a73072a81a97
141d982d7a8519c
15ce640b9b674c
hex65f6ed74b966

112111220210022 has 128 divisors (see below), whose sum is σ = 277935004592640. Its totient is φ = 33211152144000.

The previous prime is 112111220209951. The next prime is 112111220210051. The reversal of 112111220210022 is 220012022111211.

112111220210022 is a `hidden beast` number, since 1 + 1 + 211 + 1 + 220 + 210 + 0 + 22 = 666.

It is a super-3 number, since 3×1121112202100223 (a number of 43 digits) contains 333 as substring.

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 = 112111220209977 and 112111220210004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3584929 + ... + 15397212.

It is an arithmetic number, because the mean of its divisors is an integer number (2171367223380).

Almost surely, 2112111220210022 is an apocalyptic number.

112111220210022 is an abundant number, since it is smaller than the sum of its proper divisors (165823784382618).

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

112111220210022 is a wasteful number, since it uses less digits than its factorization.

112111220210022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18982387 (or 18982381 counting only the distinct ones).

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

Adding to 112111220210022 its reverse (220012022111211), we get a palindrome (332123242321233).

The spelling of 112111220210022 in words is "one hundred twelve trillion, one hundred eleven billion, two hundred twenty million, two hundred ten thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 61 66 99 122 163 183 198 297 326 366 489 549 594 671 978 1098 1342 1467 1647 1793 2013 2934 3294 3586 4026 4401 5379 6039 8802 9943 10758 12078 16137 18117 19886 29829 32274 36234 48411 59658 89487 96822 109373 178974 218746 268461 328119 536922 656238 984357 1968714 2953071 5906142 18982141 37964282 56946423 113892846 170839269 208803551 341678538 417607102 512517807 626410653 1025035614 1157910601 1252821306 1879231959 2315821202 3094088983 3473731803 3758463918 5637695877 6188177966 6947463606 9282266949 10421195409 11275391754 12737016611 18564533898 20842390818 25474033222 27846800847 31263586227 34034978813 38211049833 55693601694 62527172454 68069957626 76422099666 83540402541 102104936439 114633149499 167080805082 188739427963 204209872878 229266298998 306314809317 343899448497 377478855926 566218283889 612629618634 687798896994 918944427951 1132436567778 1698654851667 1837888855902 2076133707593 3397309703334 4152267415186 5095964555001 6228401122779 10191929110002 12456802245558 18685203368337 37370406736674 56055610105011 112111220210022