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112311222113211 = 3113197142776791
BaseRepresentation
bin11001100010010101111110…
…011111111001001110111011
3112201122211220011201002002220
4121202111332133321032323
5104210101340330110321
61034511021350455123
732441134532400432
oct3142257637711673
9481584804632086
10112311222113211
1132870a15a32000
121071a8010644a3
134a88b975b92b4
141da3c6c100119
15ceb7151b49c6
hex66257e7f93bb

112311222113211 has 32 divisors (see below), whose sum is σ = 165547977002496. Its totient is φ = 67721887032800.

The previous prime is 112311222113143. The next prime is 112311222113219.

112311222113211 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 112311222113211 - 211 = 112311222111163 is a prime.

It is a super-2 number, since 2×1123112221132112 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112311222113219) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70601775 + ... + 72175016.

It is an arithmetic number, because the mean of its divisors is an integer number (5173374281328).

Almost surely, 2112311222113211 is an apocalyptic number.

112311222113211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112311222113211 is a deficient number, since it is larger than the sum of its proper divisors (53236754889285).

112311222113211 is a wasteful number, since it uses less digits than its factorization.

112311222113211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142777024 (or 142777002 counting only the distinct ones).

The product of its digits is 288, while the sum is 24.

The spelling of 112311222113211 in words is "one hundred twelve trillion, three hundred eleven billion, two hundred twenty-two million, one hundred thirteen thousand, two hundred eleven".

Divisors: 1 3 11 33 121 197 363 591 1331 2167 3993 6501 23837 71511 262207 786621 142776791 428330373 1570544701 4711634103 17275991711 28127027827 51827975133 84381083481 190035908821 309397306097 570107726463 928191918291 3403370367067 10210111101201 37437074037737 112311222113211